Questions on Geometry: Triangles answered by real tutors!

Tutors Answer Your Questions about Triangles (FREE)

Question 628763: If the area of a triangle is given by 3x2 + 13x + 12 and the base is x + 3, find the height
Click here to see answer by Tatiana_Stebko(1539)

Question 628986: The lengths of two sides of a triangle are 11 and 23. If the third side is x, find the range of possible values for x.
Click here to see answer by reviewermath(1029)

Question 628804: A triangle has the following sides: x,2x,3x. What is the measure of the longest side of the triangle it its perimeter is 150cm?
Click here to see answer by meetkisai(17)

Question 629111: A triangle has a side of length 3, a side of length 4, and a side of length x. The possible values of x are

Click here to see answer by mmuzammil619(2)

Question 629111: A triangle has a side of length 3, a side of length 4, and a side of length x. The possible values of x are

Click here to see answer by 303795(602)

Question 629394: One of the first computers was in the shape of a huge box. It was 96 feet long and 2.5 feet wide. The amount of space inside was approximately 3,000 cubic feet. How many feet high was the computer?
Click here to see answer by unlockmath(1688)

Question 629442: The measures of the angles in a triangle are in the extended ratio of 2:5:8. Find the measures of the angles
from the smallest to the largest and include units in your answers.
Click here to see answer by dfrazzetto(283)

Question 629615: Question 8 (Multiple Choice Worth 1 points)
(04.02 MC)

The picture shows a triangular island.

Which expression shows the value of q?
r cos 55�
r sin 55�

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Question 9 (Multiple Choice Worth 1 points)
(04.02 MC)

The picture shows a barn door.

What is the distance BC between the two horizontal parallel bars?

4 sin 45�

4 tan 45�

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Question 10 (Multiple Choice Worth 1 points)
(04.02 MC)

The picture shows the design of part of a bridge.

What should be the length of the suspension chord, AB, used to hold the bridge?
meters
1000 cos 30� meters
meters
1000 sin 30� meters

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Question 11 (Multiple Choice Worth 1 points)
(04.03 LC)

Which expression shows the value of cot x�?
hypotenuse � adjacent
adjacent � opposite
hypotenuse � opposite
adjacent � hypotenuse

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Question 12 (Multiple Choice Worth 1 points)
(04.03 MC)

Look at the locations U, V, and W on the road map shown below.

What is the distance between location V and location W?
miles
miles
miles
miles

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Question 13 (Multiple Choice Worth 1 points)
(04.03 MC)

Meg has made a skateboard ramp, as shown below.

What is the length of the base?
6 cot 32�
6 sec 32�

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Question 14 (Multiple Choice Worth 1 points)
(04.03 MC)

Mike is using a telescope to view three stars. He notes the distances and angles between the lines joining the stars, as shown below.

Which expression shows the distance between Star 1 and Star 3?

x cot y�
x cosec y�

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Question 15 (Multiple Choice Worth 1 points)
(04.03 HC)

Roof trusses are triangular structures that provide support to the roof of a house. The picture below shows a roof truss.

What is the length of the piece of wood required to make the side AB of the roof truss?
12 sec 45�

12 cosec 45�

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Question 16 (Multiple Choice Worth 1 points)
(04.04 LC)

The length of the shadow of a building is 90 meters as shown below.

What is the height of the building?
180 m
m
m
60 m

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Question 17 (Multiple Choice Worth 1 points)
(04.04 MC)

A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B and C, as shown below.

What is the distance between the walls?
110.90 m
149.28 m
103.92 m
173.20 m

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Question 18 (Multiple Choice Worth 1 points)
(04.04 MC)

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole as shown below.

Angle ADC measures 60� and angle BDC measures 30�. What is the distance between the points A and B on the flagpole?
20 feet
15 feet
10 feet
25 feet

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Question 19 (Multiple Choice Worth 1 points)
(04.04 MC)

Max observes the zoo and the library from a helicopter flying at a height of feet above the ground, as shown below.

What is the distance between the zoo and the library?
400 feet
200 feet
600 feet
800 feet

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Question 20 (Multiple Choice Worth 1 points)
(04.04 HC)

The picture below shows a triangular coffee table ABC.

A carpenter plans to make two small triangular tables by cutting the big table along the line AD. What will be the length of the side BD of the table ABD?
48 cm
55.43 cm
67.89 cm
24 cm

Click here to see answer by Alan3354(69443)

Question 629593: the second side of a triangle is one centimeter more than twice the first side, and is one centimeters less than the third side. Find the measurements of each if the perimeter of the triangle is 21 centimeters
Click here to see answer by 55305(86)

Question 629929: find the srea of a square whose side measure 25cm

Click here to see answer by ewatrrr(24785)

Question 630070: The sun is shining and I am on a hill. I want to measure the height of a tree downhill from me, using my one-meter stick, and a tape measure for measuring shadows. What do I do to take the slope of the hill into account?
A Bend the meter stick.
B Place the meter stick on the hill.
C Call your mother.
D Using the meter stick and the tape measure, recreate the slope
E It's not possible.
F You don't need to do anything different so long as your meter stick is on the same slope as the tree.

Click here to see answer by solver91311(24713)

Question 630109: what is the area of a right triangle with a base of 4ft and a height of 2/3 ft
Click here to see answer by unlockmath(1688)

Question 630113: 3y 5= -8
Click here to see answer by Alan3354(69443)

Question 630277: the length of the base of a triangle, x-8, is less than the height of triangle, 12.
Click here to see answer by rapaljer(4671)

Question 630334: Suppose the vertex angle in an equiangular triangle is represented by 2x + 32. What is the value of x?
Click here to see answer by ewatrrr(24785)

Question 630336: Look at the locations U, V, and W on the road map shown below.
What is the distance between location V and location W?
Click here to see answer by Alan3354(69443)

Question 630361: An equilateral triangle has a circle of radius 5.00 m inscribed inside it. The circle is tangent to the triangle only at the 3 vertices of the triangle. Calculate the area between the triangle and the circle.
Click here to see answer by dfrazzetto(283)

Question 630267: The science club wants to find out the height of the school's flagpole. They found that if the rope attatched to the top of the pole was lengthened, it formed an angle of 60 degrees with the ground, 14ft. from the base of the pole. What is the height of the pole?
Click here to see answer by ankor@dixie-net.com(22740)

Question 630360: A larger rectangle has another, smaller rectangle inscribed within it. The larger rectangle has sides given by the equation 3x2 + 7x + 6 and 5x + 4. The inner rectangle has sides given by 2x2 + 4x + 3 and 2x + 1.

Calculate the area between the two rectangles.
Click here to see answer by ankor@dixie-net.com(22740)

Question 630359:
1. A triangle has the following three sides measured in feet: 26, 28, and 24. Calculate the perimeter of this triangle, the area enclosed by the triangle, and the angles made at the vertices of the sides.
Click here to see answer by richard1234(7193)

Question 630756: The angles of a triangle are 30, 70 & 80 degrees.
The perimeter is 12 units.
What are the sides?

Click here to see answer by dfrazzetto(283)

Question 630780: in a 45 degree - 45 degree-90 degree triangle, what would be the length of the other two sides if the the longest side is 10?
Click here to see answer by reviewermath(1029)

Question 631368: Please help me solve this equation:
Triangle ABC is isosceles with AC = BC. If AC = 3x + 8, BC = 5x - 4, and AB = 2x + 4, find the perimeter of the triangle.
I have tried solving this by myself already by solving for x and then substituting it, but the answers I get are not equal. It says that AC and BC are supposed to be congruent, but my answers are very far from each other. However, I think I got the formula for this correctly. Since it isn't a regular polygon, the formula for the perimeter is the two sides + the base, right? Please correct me if I'm wrong.
Click here to see answer by richwmiller(17219)

Question 631508: classify a triangle with sides 18 18 18
Click here to see answer by jim_thompson5910(35256)

Question 631648: The sides of an isosceles triangle are 23,23, and 22cm long. What is the area of the triangle?
Do not round any intermediate computations, and round your answer to the nearest tenth.
Click here to see answer by reviewermath(1029)

Question 631918: Find the perimeter of a right triangle with legs measuring 7 and 24.
Click here to see answer by benni1013(206)

Question 631756: The measure of the angles of a triangle are 4x-1, 9x+1, and 5x. The triangle is?
Click here to see answer by benni1013(206)

Question 631968: show me a obtuse triangle
Click here to see answer by lenny460(1073)

Question 632305: the points A(1,5),B(4,-1),C(-2,-4) forms a triangle ABC.Prove that the triangle is right angled and find the area.....plezz help me..........

Click here to see answer by reviewermath(1029)

Question 632697: The perimeter of a triangle is 25 inches. If side a is twice side b, which is half side c, what is the length of side b? Which is half of side c, side a or side b?
Click here to see answer by dfrazzetto(283)

Question 632700: Look at this series: 1, 7/8, 3/4, 5/8. What number should come next?
Click here to see answer by dfrazzetto(283)

Question 632601: what kind of angle pair are the acute angles of a right triangle?
What is the measuire of the smallest angle in an isosceles right triangle?
The ratio of the angles of a triangle is 1:2:3.What are the measures of the angles ?
Click here to see answer by KMST(5328)

Question 633303: write an equation for the perimeter p of an equilateral triangle whose sides each measure c centimeter.
Click here to see answer by solver91311(24713)

Question 633309: how do you solve for x when the area of the triangle is 10cm2, also it is a isosceles
Click here to see answer by solver91311(24713)

Question 633330: "Find the area of a triangle with side lengths 18 and 20 and included angle 6 degree."
Click here to see answer by Alan3354(69443)

Question 633330: "Find the area of a triangle with side lengths 18 and 20 and included angle 6 degree."
Click here to see answer by MathTherapy(10549)

Question 633441: A ski run must not exceed a slope of -3/5 due to safety concerns. What is the maximum elevation drop (in yards) if the run is to be 4000 yards long?
Click here to see answer by stanbon(75887)

Question 633502: Tom drops a rock off the edge of a 324 foot cliff. The height of the rock after t seconds is given by h = -16t2 + 324. How long until the rock hits the ground below? Round your answer to the nearest tenth of a second.

Click here to see answer by Alan3354(69443)

Question 633814: find the area of a triangle with a base of 12meters and an altitude of 14meters
Click here to see answer by solver91311(24713)

Question 633876: If DC=12 cm and AD=3 cm, then BD=___.

Click here to see answer by richwmiller(17219)

Question 634189: the area of the triangle is 10cm^2,and the base is x+2, and the height is x+1, solve for x
Click here to see answer by richwmiller(17219)

Question 634219: Two sides of a right triangle are 2 square root 2, and 3. (neither the hypotenuse)
What is the measurement of the hypotenuse?
Click here to see answer by ihelpw/trig(1)

Question 633396: What is the area of a right triangle with a hypotenuse measuring 5 inches and a base measuring 4 inches?

Click here to see answer by bucky(2189)

Question 634484: From the markings shown on the following triangle, which of the following statements is true
Click here to see answer by jim_thompson5910(35256)

Question 634532: How can I input pics of triangles?
I'm not able to copy jpegs into the question box?
Click here to see answer by jim_thompson5910(35256)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690