Questions on Geometry: Triangles answered by real tutors!

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Question 722848: Heron's formula can be used for the area of a triangle where a, b, and c are side lengths. Calculate the area of the triangle that has the side lengths of 5cm, 8cm, and 12cm. Leave answer in simplest radical form.

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Question 722956: if ad=3 and db=24, find ac
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Question 723070: Find the length of the hypotenuse of an isosceles right triangle whose legs measure 4 inches.
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Question 723005: write an expression in terms of x for the perimeter of an isosceles triangle with 2 sides of 6 cm and a third side of 2x cm.
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Question 723098: One angle of a triangle is 15 degrees more than the measure of the second angle. The third angle is 15 degrees less than the measure of the second angle. Find the measure of each angle.
I am having a really hard time with geometry...I was bad at it 20 + years ago and it hasn't gotten any better since then. If anyone can show me how to figure this out I would really appreciate it! :)
Becky

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Question 723099: I have another question. Given that the measure of angle a= 74 degrees and the measure of angle b= 52 degrees, find the measure of angles x and y. In the drawing, angle x is on the lower right interior of the triangle and angle y is on the lower right exterior of the triangle. I am so totally lost...please help...
Becky

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Question 723341: If the hypotenuse is 26 inches long, how long are the other 2 sides

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Question 723421: A triangle that has side lengths of 7, 9, and 11 is what type of triangle?
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Question 723486: triangle ABC has an exterior angle at C. if the measure of the exterior angle is represented by 4x-10, angle B is represented by x, and angle A is 2x+20 what is the measure of the exterior angle
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Question 723556:
the area of a triangle is 270ft squared, and the length of its base is 18 ft. find the height

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Question 723723: What is x+5=1/2(3x - 9)
And how you did it.

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Question 723777: Please help me im confused.(if an obtuse triangle has a base of 9 inches and height of 13 inches, what is the area of the triangle?
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Question 723845: 3 angles of a scalene triangle are in the ratio 2:3:5.find the measures of the angles
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Question 724133: A triangle with vertices A(-1;7),B(7;5) and C(5;-3) is given.how do you show that ABC=90 degrees
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Question 724137: Find the perimeter of a triangle with sides 12 inches, 9 inches, and 15 inches.
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Question 724659: Hi! I was wondering if you have a triangle on the shpere what is the range of values for the sum of the angles of a triangle on a sphere? I have seen this question posted before but I didn't understand it. Could you explain how you got the answer too. Thanks:)
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Question 724738: What is the range of values for the sum of the angles of a triangle on a sphere?
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Question 725265: suppose you are given the lengths of two sides of a right triangle describe how you can find the length of the third side?

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Question 725771: if A is equal to 55 degrees 55' and c is equal to 16 what is A?
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Question 725101: How many white people are there
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Question 725887: in a right triangle, the altitude to the hypotenuse is 5 units and the longer segment of the hypotenuse is 7 units. What is the nearest length of the hypotenuse to the nearest tenth?
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Question 725904: A right triangle has a hypotenuse of length 18. One of the triangle's acute angles measures 65 degrees. What is the length of the triangle's shortest side?
A. 16.31
B. 8.48
C. 7.61
D. 6.23
(answer is said to be C but don't understand how to solve it, help please!)

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Question 725962: If the hypotenuse of a right triangle is 1 m more than the longer leg, and the shorter leg is 7 m, find the length of the longer leg.
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Question 725962: If the hypotenuse of a right triangle is 1 m more than the longer leg, and the shorter leg is 7 m, find the length of the longer leg.
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Question 726196: The measure of a right triangle is 74 degrees. I have already figured out the measures of the other two angles which are 90 degrees and 16 degrees. Now the 2nd part of the question asks "what are the measures of each of the corresponding exterior angles? Explain your answer."

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Question 726330: Please help me with this question?
The legs of one right triangle have a ratio of 5:12. If the hypotenuse is 65 feet in length, what is the length of the shorter leg?
i know that i have to use pythagorean theorem, but i am not sure how.

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Question 726330: Please help me with this question?
The legs of one right triangle have a ratio of 5:12. If the hypotenuse is 65 feet in length, what is the length of the shorter leg?
i know that i have to use pythagorean theorem, but i am not sure how.

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Question 726363: For questions 1–2, find the length of the missing side.
https://www.connexus.com/content/media/461958-3172011-92547-AM-716566964.png
1.
The triangle is not drawn to scale. (1 point)
28
100
10
48
2. https://www.connexus.com/content/media/461958-3172011-92550-AM-781328540.png
The triangle is not drawn to scale. (1 point)
35
49
7
2
For questions 3–4, find the length of the missing side. Leave your answer in simplest radical form.
3.https://www.connexus.com/content/media/461958-3172011-92551-AM-281390352.png
The triangle is not drawn to scale. (1 point)
√17
113 m
√113m
√71m
4. https://www.connexus.com/content/media/461958-3172011-92559-AM-1373215502.png
The triangle is not drawn to scale. (1 point)
√26 m
√445 m
√7 m
√203 m
For questions 5–7, find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
5. https://www.connexus.com/content/media/372403-592011-90359-AM-1067649350.jpg
The triange is not drawn to scale.
(1 point)
2
12√3
1/2
6√3
6. https://www.connexus.com/content/media/372403-592011-94952-AM-526901688.jpg
The triangle is not drawn to scale.
(1 point)
x = 10√3, y = 30
x = 10, y = 30√3
x = 30√3, y = 10
x = 30, y = 10√3
7.https://www.connexus.com/content/media/372403-592011-100904-AM-365711307.jpg
The triangle is not drawn to scale.
(1 point)
x = 17, y = 34√3
x = 34, y = 17√3
x = 34√3, y = 17
x = 17√3, y = 34
8. https://www.connexus.com/content/media/461958-3172011-93206-AM-534963895.png
(1 point)
39°
30°
26.57°
60°
9. Write the ratios for sin A and cos A.
https://www.connexus.com/content/media/372403-592011-102348-AM-2107608367.jpg
The triangle is not drawn to scale.

sin A = 3/5, cos A =4/5
sin A = 4/5, cos A = 3/5
sin A = 3/4, cos A = 4/5
sin A = 3/5, cos a = 4/3


WorkPad
Note: Remember to show all of the steps that you use to solve the problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer.

10. Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth. https://www.connexus.com/content/media/372403-592011-103014-AM-1832610723.jpg
The triangle is not drawn to scale.
(2 points)

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Question 726493: If a triangle has the sides 9, 10, and 12 what type of triangle is it?
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Question 726747: The hypotenuse of a right triangle is 13 inches. Find the perimeter of this triangle if its area is 30 square inches.
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Question 727281: The area of a triangle is 24 square inches. Find the height and base if its height is one-third the length of the base.
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Question 727313: a triangle has two angles with a measure of 60 degrees and one side with a length of 12. What is the perimeter of the triangle?

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Question 727313: a triangle has two angles with a measure of 60 degrees and one side with a length of 12. What is the perimeter of the triangle?

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Question 727819: If the legs of a right triangle and 6cm and 9cm, what is the hypotenuse?
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Question 727838: The length of the two legs of a right triangle are 6 and 11. Find the measure of the smallest angle (to the nearest tenth of a degree) in the triangle.
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Question 728155: why do all isosceles triangles have 2 acute angles?

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Question 728416: The vertex angle of a triangle is three times the measure of either base angle. Find the area if the measure of the congruent sides are 14 in.
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Question 728584: How can you tell an angle by two of the legs of a triangle? example: The length of the shorter leg is 146 and the longer leg is 186, and they meet at a 90 degree angle and i need to find the other two angles.
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Question 728973: the first side of a triangle is 4 meters long. the second side is 6 meters long. which of the following could be the measure of the third side of the triangle?
a. 2 meters
b. 8 meters
c. 10 meters
d 12 meters

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Question 729031: Classify the triangle by its sides and angles.
The sides of the triangle measure 13, 15, and 13.
The angles are 59 degrees, 62 degrees, and 59 degrees.

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Question 729173: If the cosine of a angle is 3/5 what is the sine of this angle?

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Question 729669:
The second angle of a building lot is three times as large as the first,The third angle is 10 degrees more than the sum of the other two angles.What is the third angle?

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Question 730033: What type of triangle has the side lengths of 2,3,4 ?
What type of triangle has the side lengths of 2,3,5 ?
What type of triangle has the side lengths of 6,8,9 ?
What type of triangle has the side lengths of 6,8,10 ?

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Question 730033: What type of triangle has the side lengths of 2,3,4 ?
What type of triangle has the side lengths of 2,3,5 ?
What type of triangle has the side lengths of 6,8,9 ?
What type of triangle has the side lengths of 6,8,10 ?

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Question 730018:

Whats the height of a triangle of the area is 45 and base is 12.5

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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