Questions on Geometry: Triangles answered by real tutors!

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Question 825605: In right triangle DEF, the measure of angle D is 90 degrees and the measure of angle F is 12 degrees less than twice the measure of angle E. Find the measure of angle E.
Click here to see answer by math-vortex(648)

Question 825638: If the ratio of the side lengths of a triangle is 2:3:4 and the shortest side is 15 in. What is the perimeter?
Click here to see answer by math-vortex(648)

Question 825794: A triangle has sides which are 9, 40, and 41 centimeters long. what is the area?

Click here to see answer by KMST(5328)

Question 825897: i'm doing a SAT practice test and i found a very simple question that I thought the answer could be easily either one...
QUESTION: A certain triangle has two angles of equal measure. If the length of one side is 24 and another side is 50, what is the length of the third side?
The answer given: 50
I figured from the problem that if two angles are equal, then the side opposite of those angles are equal too. But I was stuck from there because it doesn't give any angle measurements, which I'm assuming isn't needed.
So before figuring that out, i was formulating in my head that if i get at least two angle measurements and double whichever of them would add up to 180. So then, if the larger angle measure is doubled then I figured the answer would be the bigger side (50), and vice-versa.
Anyway...can you please show me how this problem is done?
Click here to see answer by richwmiller(17219)

Question 825894: i'm doing a SAT practice test and i found a very simple question that I thought the answer could be easily either one...
QUESTION: A certain triangle has two angles of equal measure. If the length of one side is 24 and another side is 50, what is the length of the third side?
The answer given: 50
I figured from the problem that if two angles are equal, then the side opposite of those angles are equal too. But I was stuck from there because it doesn't give any angle measurements, which I'm assuming isn't needed.
So before figuring that out, i was formulating in my head that if i get at least two angle measurements and double whichever of them would add up to 360. So then, if the larger angle measure is doubled then I figured the answer would be the bigger side (50), and vice-versa.
Anyway...can you please show me how this problem is done?
Click here to see answer by richwmiller(17219)

Question 825931: which three numbers could be the lengths of the sides of a triangle. Put an X by each one.
A. 4,4,4
B. 3,4,5
C. 5,6,11
D. 6,8,8
E. 1,2,3
F. 7,11,19
Click here to see answer by rfer(16322)

Question 825852: Two sides of a triangle are 9 inches and 17 inches. What can be the length of the third side?
Click here to see answer by math-vortex(648)

Question 826064: This is a question from the chapter 'Sets' which is related to Geometry: Triangles.
Name the triangle from the below given options:
a) Isosceles triangle
b) Obtuse angled triangle
c) Equilateral triangle
d) Right angled triangle
So, the question is:
A triangle has sides 6 cm, 8 cm and 10 cm.
What triangle is it? Choose from the given options.
I thought the answer would be Obtuse or Right angled triangle, but the answer in the textbook is Isosceles triangle.
Can you explain why?

Click here to see answer by rfer(16322)

Question 826122: Using a ruler, a pencil, and a compass, construct triangle EFG with line segment EG equal to
6cm, the measure of angle FEG equal to 60 degrees, and the measure of angle EGF equal to
90 degrees.
Measure and state the length of line segment EF and the measure of angle EFG.
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Question 826212: construct a rigth triangle whose hypotenuenuse is 6 cm long and one of the legs is 4 cm long.

Click here to see answer by Seutip(231)

Question 825174: if the three sides of a triangle are 2, 5, and x units and area of triangle is x sq. units, what is the value of x ?
Click here to see answer by tommyt3rd(5050)

Question 826443: How can I find the third side of an isosceles triangle with no angle given?
Click here to see answer by josgarithmetic(39613)

Question 826584: the sides of a triangle are in the proportion 2:3:7. the longest side of the triangle is 14 cm. What is the perimeter of the triangle?
Click here to see answer by stanbon(75887)

Question 826662: In the triangle jkl angel j is 29 degrees and angel k is 86 degrees what is the measure of angel l
Click here to see answer by Alan3354(69443)

Question 826800: How do you find the area of an equilateral triangle if the perimeter is 18cm?
Click here to see answer by richwmiller(17219)

Question 826917: The measures of the angles of the isosceles triangle are in the ratio 8:8:2
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Question 827101: perimeter of a sheet of glass 40cm wide and 70cm long
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Question 659: If the area of a triangle is 54 square inches and the base is 12 inches, then what is the height?
Click here to see answer by PRIYA123456(2)

Question 827127: the hypotenuse of a right isosceles triangle is 5 cm long.
Write an exact expression for the base and the height of the right triangle, useing primary trigonmetric ratios?

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Question 827225: If a=5,b=3c=7 solve abc
Click here to see answer by LinnW(1048)

Question 827231: if the two legs of the right angled triangle are equal and the square on the hypotenuse is 100, what is the length of each leg
Click here to see answer by josgarithmetic(39613)

Question 827223: if ∠A =26,∠c= 24,b=15 solve ΔABC
Click here to see answer by Edwin McCravy(20054)

Question 827298: A triangle has sides with lengths of 24 feet, 70 feet, and 78 feet. Is it a right triangle?
Click here to see answer by josgarithmetic(39613)

Question 827322: the perimeter of an equilateral triangle is 45 meters find the length of each side
Click here to see answer by LinnW(1048)

Question 827317: I need to know the angles of a triangle with measurements 2 feet high by 11 feet long. I believe the third measurement will be 11.8 feet. One angle is 90 degrees. What are the other two?

Click here to see answer by LinnW(1048)

Question 827521: Two sides of an isoceles triangle are 6 in. and 2 in. What is the length of the third side? Why?
Click here to see answer by josgarithmetic(39613)

Question 827593: what is the solution in this problem?The ratio between the base and the altitude is 2:3.If the area of the triangle is 108 sq. cm.,what is the base?
Click here to see answer by mananth(16946)

Question 827646: if two sides of a triangle are 1 and 3 what are the possibilities of the 3rd side

Click here to see answer by richwmiller(17219)

Question 827679: in a scalene right triangle one angle is equal to 35. how large is the second acute angle

Click here to see answer by josgarithmetic(39613)

Question 827673: I really need help with this written problem. (In triangle GHK, a segment drawn from vertex G to the opposite side creates a 90 degree angle with the opposite side. what is the best name for this type of segment?) please explain your answer so i am able to understand how you did this, thank you.
Click here to see answer by josgarithmetic(39613)

Question 827726: the front wall of house is in the shape of equilateral triangle. the base of the house is 10m long, how tall is the front?
Click here to see answer by LinnW(1048)

Question 827820: The measure of the angles of a triangle are in the extended ratio 6 : 1 : 5. What is the measure of the largest angle?
Click here to see answer by edjones(8007)

Question 827834: a traingle has two angle measurements of 25 degrees and 56 degrees what is the third measurement
Click here to see answer by Alan3354(69443)

Question 827834: a traingle has two angle measurements of 25 degrees and 56 degrees what is the third measurement
Click here to see answer by stanbon(75887)

Question 827881: A triangle has 2 angles that are 43� and 77�. What is the measurement of third angle?

Click here to see answer by rfer(16322)

Question 827879: In angle UTV, side UT=3, UV=4 and TV=6. In angle XYW, XY=16. The two triangles are similar such that angle X = angle U, angle Y = angle V and angle W = angle T. What is the length of XW?
Click here to see answer by jsmallt9(3758)

Question 828075: what is the bottom leg of a right triangle when the hypotenuse is 15 and has a degree of 44?
Click here to see answer by stanbon(75887)

Question 828131: If a right triangle with sides a, b, & c have measures 3, 4, 5 respectively, what is the tanA?
Click here to see answer by stanbon(75887)

Question 828270: Find the area of a right triangle whose legs have lengths which differ by 7m and whose hypotenuse is 17m long?
Click here to see answer by stanbon(75887)

Question 828286: Find the length of the hypotenuse of a 30�-60�-90� triangle if the length of the longer leg is 10*sqrt(3)

Click here to see answer by TimothyLamb(4379)

Question 828295: What formula can be used finding volume of a cube, rectangular prism or even a cylinder?

Click here to see answer by josgarithmetic(39613)

Question 828355: I am trying to find a leg length of a right 30-60-90 triangle. The shortest leg is y, longest leg is 4, and the hypotenuse is unknown. I am trying to find what Y would equal by finding what x value makes true. I just do not know if I square both sides I should get or . Thank you!
Click here to see answer by Alan3354(69443)

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