Questions on Geometry: Triangles answered by real tutors!

Tutors Answer Your Questions about Triangles (FREE)

Question 357025: If the base of a triangle increases by 5% and its corresponding altitude decreases by 5%, by what percent does the area of the triangle change?
Click here to see answer by ankor@dixie-net.com(22740)

Question 357231: The second side of a triangle is three times the length of the first. The third side is five less than the second side. If the perimeter is 72, how long is the longest side?
Click here to see answer by mananth(16946)

Question 357227: A 30-60-90 right triangle has a long leg of length 22. What is the area of this right triagle?
Click here to see answer by Fombitz(32388)

Question 357227: A 30-60-90 right triangle has a long leg of length 22. What is the area of this right triagle?
Click here to see answer by edjones(8007)

Question 357368: A 30-60-90 triangle has a long leg of length 22. What is the area of this right triangle?
Click here to see answer by edjones(8007)

Question 357410: Hello,
-The length of the sides of a triangle are 7, 8 and 10. If the length of the longest side of a similar triangle is 25, What is the length of the shortest side of this triangle?
-If the number of degrees in a base angle of an isosceles triangle is four times the number of degrees in the vertex angle, What is the number of degrees in a base angle of the triangle?
Thank You.
Click here to see answer by edjones(8007)

Question 357546: if a polygon has an exterior angle of 18 degrees, how many sides does it have?
Click here to see answer by Alan3354(69443)

Question 357621: i have several questions.....
Classify each triangle (acute, obtuse, right) based on the given side lengths.
1) 6,9,10
2) 18,24,30
3) 20,100,110
4) 7,24,25
5) 2,5,6
6) 13,21,24 (if you could, could you explain how to do this?)
&&
Find the area of the shaded region. leave answers in simplest radical form
1) (isosceles) b= 40 in. side= 29 in.
2) (isosceles) b= 12 cm side=14 cm
3) (isosceles) b= 70 ft. side= 41 ft.
Click here to see answer by stanbon(75887)

Question 357651: Hello,
Please help me with the following problem, I did work it but I am not sure if it is right.
1. Find the perimeter and area of a right triangle if one leg measures 14 mi. and the other leg measures 48 mi.
MY ANSWER:
C^2=A^2+B^2
c^2=14^2+48^2
c^2=196+2304
C^2=2500
c=50 miles
--------------------
P=50+14+48
P=112 miles
----------------
A=.5lw
A=.5*14*48
A=336 sq miles

Click here to see answer by scott8148(6628)

Question 357755: my question is find the slope of the line containing each pair of points?
points: A(-2,3)and B(3,1)
Click here to see answer by rfer(16322)

Question 357657: What is the sine of the smallest angle in a right angle with the leg lengths of 8cm and 15cm
Click here to see answer by Fombitz(32388)

Question 358225: The lengths of the sides of a triangle are 3t,5t-12, and t plus 20.
A: find the values of t that make the triangle isoceles?
B: does any value of t make the triangle equilateral? explain.
Click here to see answer by Edwin McCravy(20054)

Question 358363: find the value of x, rounded to the nearest tenth
Click here to see answer by Alan3354(69443)

Question 358440: The area of a triangular sheet of paper is 190 square inches. One side of the triangle is 8 inches more than three times the length of the altitude to that side. Find the length of that side and the altitude to the side.
Click here to see answer by mananth(16946)

Question 358570: right triangle is 50 meters long and one side is 30 meters long. what is the remaining side?
Click here to see answer by guitarheroguy(26)

Question 358570: right triangle is 50 meters long and one side is 30 meters long. what is the remaining side?
Click here to see answer by Alan3354(69443)

Question 358548: one leg of a right triangle is 1 millimeter shorter than the longer leg and the hypotenuse is 1 millimeter longer than the longer leg. find the lengths of the side of the triangle
Click here to see answer by checkley77(12844)

Question 358749: Can this be solved? I think the question is worded wrong or is a misprint, please help.
An isosceles triangle with sides AB and BC congruent has the following lengths:
AB= x+7, AC = 3x-5
Solve for x and the length of all three sides.
Click here to see answer by Alan3354(69443)

Question 359086: A triangle has vertices A (-7,1) B (5,10) and C (-7,7). Determine the area of the triangle
Click here to see answer by Fombitz(32388)

Question 359278: What is the mesure of each angle of an equiangular triangle? Explain.
Click here to see answer by rfer(16322)

Question 359293: what is the height of a triangle, where the area is 56 inches squared and a base of 14 inches?
Click here to see answer by geforcewong(2)

Question 359880: Why must you use the largest angle to classify the triangle?
Click here to see answer by robertb(5830)

Question 359923: Find the perimeter and area of a right triangle if one leg measures 10 ft. and the other leg measures 24 ft
Click here to see answer by mananth(16946)

Question 359956: Herman is making a small isosceles right triangular table. If two of the sides will measure about 25 inches each, how many inches should the longest side (c) measure? Use the appropriate formula and round your answer to the nearest tenth.
Click here to see answer by edjones(8007)

Question 360028: The short side of a 30�-60�-90� triangle measures 8.
What is the length of its hypotenuse?
Click here to see answer by robertb(5830)

Question 360062: John placed an order to print some poster at his local printer. They charged a setting up fee of �45 pounds and 2 pounds for every poster printer.Write an expression to repreent the total cost incurred "C" to print an "N" number of Psters.
Click here to see answer by mananth(16946)

Question 360060: one side of a triangle is 4cm longer and another 3cm shorter than the third side.if the perimeter of the triangle is 43cm, find the length of the three sides.
Click here to see answer by mananth(16946)

Question 360263: and isosceles triangle has a vertex angle of 112 degrees, what is the measure of one of the acute angles?
Click here to see answer by Theo(13342)

Question 360348: Compute the area of a triangle with three sides of 6, 8, and 10.
Click here to see answer by mananth(16946)

Question 360339: please help me solve this problem: Determine the length of the side of an isoceles triangle measuring 12 metres in perimeter that maximize it area.
Click here to see answer by Alan3354(69443)

Question 360396: Lengthening the three sides of a triangle by 100%, we get a new larger triangle. By what percents do its three angles, perimeter, and area change?
Click here to see answer by Alan3354(69443)

Question 360565: I need this by 10/24/10 and I need it drawn out.
Min works in the kitchen of a catering company. Today her job is to cut whole pieces of pita bread into small triangles. Min uses a cutting machine so every pita triangle comes out the same. The base of the triangles is 4 cm and the sides are 6 cm. Min has been told to cut 3 pita triangles for every guest. there will be 250 guests. If the pita bread she uses comes in squares with 20 cm sides and she doesn't waste any bread how many squares of whole pita bread will min have to cut up? [Click to preview math format]
Click here to see answer by robertb(5830)

Question 360703: if a triangle has two 8 cm sides and an angle of 50 degrees what is the length of the base?
Click here to see answer by Alan3354(69443)

Question 360703: if a triangle has two 8 cm sides and an angle of 50 degrees what is the length of the base?
Click here to see answer by ewatrrr(24785)

Question 360710: if the height and area of a triangle increase by 20% and 8%respectively , find the % change in the base of the triangle?
Click here to see answer by Alan3354(69443)

Question 360745: The perimeter of a triangle is an odd integer. In addition, its two sides are 2 and 9.Find all possible values of the third side
Click here to see answer by ewatrrr(24785)

Question 360969: in triangle ABC, angle A=6x+11, Angle B=3x-1, and Angle C=5x+2. Solve for x and find the measure of each interior angle. Also, find the measure of the exterior angle at B.
Click here to see answer by Fombitz(32388)

Question 361135: The hypotenuse of an isosceles right triangle is 2 centimeters longer than either of its legs. Find the exact length of each side.
Thank you for your time and help.
Click here to see answer by mananth(16946)

Question 361494: The leg of a right triangle is 12 and the hypotenuse is 30 cm. What is the length of the other leg?
Click here to see answer by solver91311(24713)

Question 361682: Find the measures of the angles in a triangle if the second angle is four more than the first and the third is twice the second. What are the angles?
Click here to see answer by rfer(16322)

Question 361684: In a triangle, one angle measures 70 degrees less than the second angle. The third angle measures 80 more than the first. What are the angles?
Click here to see answer by mananth(16946)

Question 361681: One angle of a triangle measures 6 degrees more than a second angle. The third angle measures 18 less than twice the sum of the first two angles. Find the measure of each angle.
Click here to see answer by mananth(16946)

Question 361834: one of the equal angles in an isosceles triangle is 10 degrees larger than twice the smallest angle in the triangle. What are the degree measures of the triangle?
Click here to see answer by mananth(16946)

Question 362059: The angle of elevation of a building from a point on the ground 200 feet away from its base is 42 degrees. Find the height of the building to the nearest foot.
A. 180 feet

B. 187 feet

C. 195 feet

D. 200 feet

E. 206 feet

Click here to see answer by ewatrrr(24785)

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