Questions on Geometry: Triangles answered by real tutors!

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Question 391786: Hello,
We are learning Inequalities Involving Two Triangles (SAS Inequalities i.e. Hinge Theorem & SSS Inequality) and I have a problem I can not solve. Using the figure, write an inequality relating the given pair of angle or segment measures. FH,GE
the book says that FH > GE but I am not sure how to prove that. can anyone help?

Click here to see answer by NancyLam(35) About Me 

Question 391944: I have to find the area of a triangle with a base of 3 3/8in. and a height of 2 2/3 in.


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Question 391508: |7x|>-6
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Question 392277: This question also has some algebra in it. I have 1 scalene triangle with the base of x2-7x+13 and the two sides are x2-6x+4 how do i find the perimeter
Click here to see answer by ewatrrr(24785) About Me 

Question 392278: Two sides of a triangle have lengths 2 and 5. Find all possible integral values that could represent the length of the third side.
Click here to see answer by ewatrrr(24785) About Me 
Question 392278: Two sides of a triangle have lengths 2 and 5. Find all possible integral values that could represent the length of the third side.
Click here to see answer by MathLover1(20849) About Me 

Question 392317: each base angle of an isosceles triangle has a measure of 30 degrees. If the length of the base is 36,what is the height of the triangle?
Click here to see answer by NancyLam(35) About Me 

Question 392382: Find the measures of the angles of each triangle:
The ratio of the measures of 3 angles is 2:5:3

Click here to see answer by Alan3354(69443) About Me 

Question 392404: I still don't get this!
Find the measures of the sides of each triangle:
The ratio of the measures of 3 sides of a triangle is 8:7:5. Its perimeter is 240 ft.
Can someone help me??
Thanks

Click here to see answer by Alan3354(69443) About Me 

Question 392475: A garden has the shape of an isosceles right triangle. the length of the hypotenuse is 24 feet. what is the area of the garden? I need help!!
Click here to see answer by rfer(16322) About Me 

Question 392507: a corner table has a top in the shape of an isosceles right triangle. if the hypotenuse is 14 inches long what is the length of each side?
Click here to see answer by mananth(16946) About Me 

Question 392699: the base of an isosceles traingle has legth 10. what can you say about the leght of the legs?
Click here to see answer by ewatrrr(24785) About Me 

Question 392772: if the side lengths of a triangle are 4,15, and 25. is the triangle acute, obtuse, or right. or can it not be formed?
Click here to see answer by Alan3354(69443) About Me 

Question 392773: a triangle with an angle whose measure is 90 degrees is called ?
Click here to see answer by stanbon(75887) About Me 

Question 392774: if the side lengths of a triangle are 8, 9, and 10 would it be obtuse, acute, or right. or can it not be formed? if so why?
Click here to see answer by Alan3354(69443) About Me 

Question 392914: Find the perimeter of triangle KLM.
Click here to see answer by mananth(16946) About Me 

Question 392969: The area A of a triangle with base b and height h is given by A= 1/2bh. Find the area when b=19 and h=12m.
Click here to see answer by richard1234(7193) About Me 

Question 393023: Write a polynomial that represents the area of each triangle
Width is 2x+3 and length is 4x

Click here to see answer by stanbon(75887) About Me 

Question 393027: Verify that the points (0,0), (a,0), and (a/2, square root3a/2) are the vertices of an equilateral triangle.
Click here to see answer by robertb(5830) About Me 

Question 393067: Pleae help me solve this problem.


A right triangle has a height of x, a base of 5 and a hypotenuse of 13. Solve for x.

Click here to see answer by mananth(16946) About Me 

Question 393203: the measures of the two acute angles of a right triangle differ by 15 degrees. What are their measures?
Click here to see answer by solver91311(24713) About Me 

Question 393481: How do you solve a problem that says "find the value of each ratio to the nearest hundredth." and then gives you a problem saying "sin14"
Click here to see answer by neatmath(302) About Me 

Question 393628: God bless you and hope you will clear my frustration to this nagging and seemingly wrong formula. We have a triangle with sides a, b and c with c as base, which is divided into two parts in r to s ratio, by altitude denoted by h. I.e. side a is hypoteneuse to r and side b to s. Is there a formula which runs as, h = [a * s + b * r] / r + s. Many engineers vehemently declared the wrongness of the formula

Click here to see answer by robertb(5830) About Me 

Question 393671: In right triangle ABC, the median to the hypotenuse has length 15 units and the altitude to the hypotenuse has length 12 units. What is the length of the shorter leg of triangle ABC? Express your answer in simplest radical form.
Click here to see answer by ewatrrr(24785) About Me 

Question 393713: The lengths of the two legs of a right triangle are thirteen centimeters and ten centimeters. What is the exact length of the hypotenuse?
Click here to see answer by rfer(16322) About Me 

Question 393790: if one angle of an isosceles triangle measures 100 degrees. What are the measures of the other two angles? Explain your reasoning
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Question 393776: base of triangle is 12 units . if length is 2 1/2 times base what is perimeter of triangle
Click here to see answer by Alan3354(69443) About Me 

Question 393773: An equileteral triangle has the length of its sides given in cm by (3a+2),(2b-a) and (b+3).Find the values of a and b.Also find the perimeter of the triangle.
Click here to see answer by ewatrrr(24785) About Me 

Question 393409: The measure of two sides of a triangle are 8 and 50. Between what two numbers must the measure of the third side fall?
Click here to see answer by robertb(5830) About Me 

Question 394036: What is the length of the altitude of the hypotenuse of a right triangle whose sides have lengths 6, 8, and 10.
Click here to see answer by robertb(5830) About Me 

Question 394271: find the coordinates of point d on line bc such that ad is the shortest segment distance from a to bc for a(9,9) b(-1,11) c(-2,2)
Click here to see answer by ewatrrr(24785) About Me 

Question 394287: if a triangle has a 90, 25, and 65 degree angles, and the length of the triangle is 2.3 cm, what are the length of the other too sides?
Click here to see answer by Alan3354(69443) About Me 

Question 394353: A rectangle is 5 meters wide and 12 meters long. How long is the diagonal of the rectangle?
Click here to see answer by EricL(29) About Me 

Question 394411: How do I find unknown side measures of a 45-45-90 triangle? I need to write answers in simplest radical form.
Here is an example:
Hypotenuse is 15^2, sides are both unknown.
Is there a formula to solve this type of problem?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 394413: The measures of two angles of a triangle
are 18 and 62. Which type of triangle
is it

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Question 394436: line j is parallel to line k. the slope of line j is 4/5. what is the slope of line k?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 394436: line j is parallel to line k. the slope of line j is 4/5. what is the slope of line k?
Click here to see answer by stanbon(75887) About Me 

Question 394387: how do i know if three line segments form a right triangle?
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Question 394352: What is the altitude of an equilateral triangle with side length of 6 yards. What is the area?
Click here to see answer by MathLover1(20849) About Me 

Question 394573: What type of triangle has the angle mesuring
1. 54o,68o and 58o
2. 110o,30o, and 40o
please answer this is due this Friday

Click here to see answer by pie90010(44) About Me 

Question 394644: how do you find the sides of an isosceles triangle, if you know the longest (bottom) side is 18? And the other two sides are equal?
Click here to see answer by edjones(8007) About Me 

Question 394551: Tell if the measures 8, 9, and 8 can be side lengths of a triangle. If so, classify the triangle as acute, right, or obtuse.

Click here to see answer by richard1234(7193) About Me 

Question 394725: Given A=39° b=7 c=8 use the law of cosines to solve the triangle for the value of a
Click here to see answer by Alan3354(69443) About Me 

Question 394722: Given a=9 b=13 and c=6 use the law of cosines to solve the triangle for the given value of c. Round answer to two decimal places
Click here to see answer by Alan3354(69443) About Me 

Question 394686: If PQ = 21 cm and QR = 5 cm, then what are the possible lengths for PR so that PQ, QR , and PR can form a triangle? Explain your reasoning.
Click here to see answer by ewatrrr(24785) About Me 

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