Questions on Geometry: Triangles answered by real tutors!

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Question 491873: ABC is a triangle in which SINA:SINB:SINC=7:8:10 and it's perimeter=75cm and m(B)=22 find it's area
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Question 492025: The two sides of a right triangle are 12 m and 13 m. What is the length of the base of the triangle?

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Question 492023: The two sides of a right triangle are 12 m and 13 m. What is the length of the base of the triangle?

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Question 491799: An isosceles triangle has a perimeter of 45 in. If the two congruent sides are 5 inches shorter than the base, what is the measure of each side?
Write an equation

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Question 491781: The height of a triangle is 18.6 meters. Its area is 46.5 square meters. Find the length of the triangles base
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Question 492039: the base of the triangle is 10, and its area is 20. what is the height?
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Question 492106: The three angles in a triangle have a ratio of 2:3:5. Find the measure of each angle.
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Question 492154: The length of a side of an equilateral triagle is 4. Which type of number best describes the length of the altitude of the triangle?
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Question 492177: if one side of a triangle is 8 and the other is blank, what is x, the length of the third side?
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Question 492275: Solve the following triangle foe x: The three angles of the trinagle have measures of x, 2x, and 3x
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Question 492275: Solve the following triangle foe x: The three angles of the trinagle have measures of x, 2x, and 3x
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Question 492257: The supplement of an angle is 4 more than three times the angle. Find the angle. (Two angles are supplemental if their sum is 180).
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Question 492497: Find the lengths of the sides of a triangle whose perimeter is 37. The measure of the first side of the triangle is 8 less than the second side, and the secoond side is twice the length of the third.

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Question 492247: the complement of an angle is 15 degree more than twice the angle. find the angle. ( two angles are complements if their sum is 90 degree
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Question 492189: What is the height of a triangle with an area of 30 centimeters squared and a base of 12 centimeters?
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Question 492379: how would I find the area of an object that has uneven sides ?
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Question 492715: what are the possible whole numbers for the length of the third side of a triangle if the length of the two sides is 6 and 12?
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Question 492701: The sides of a triangle are 6cm, 8cm, 10cm. The area of the greatest square that can be inscribed in it, is:
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Question 493449: A triangle with the area of 12m squared has a height that is 5 m more than its base. What is the height of the triangle?
So far i just can't seem to get the write way to start solving. I know that you have to have the base times the height plus 5 meters and divide by 2 but i can't figure out how to start it

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Question 493355: I have two questions.
one angle is a scalene triangle is three times the smallest angle. The third angle is four more than the smallest angle. Find the measure of each angle of the triangle.

The length of a rectangle is five more than the three times it width. The perimeter of the rectangle is 124 meters. Find its length and with of the rectangle.

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Question 493300: Find the minimum and maximum limits for the length of a third side of a triangle if the other two sides are 8" and 13"
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Question 493255: The ratio of the measure of a vertex angle to a base angle of an isosceles is 2:3. Find th e measure of the smallest angle
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Question 493236: There is a 15 75 90 degree triangle, the shortest leg is 40 meters what is the length of the long leg and the hypoteneus?
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Question 493637: In a right triangle, once leg has length and the other has length . What is the length of the hypothenuse?
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Question 493573: prove that right angle triangle hypotenuse side length is always longer
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Question 494172: if one angle of a triangle is twice the smaller angle and the third angle is three times the smaller angle, find each angle
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Question 494714: A man wants to build a teepee for his kids. He plans to use 10 foot poles for the supports and wants the base of the teepee to be 12 foot across. What would the height be?
It has been years since I did anything like this so I don't even know where to begin. It's an algebra problem.

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Question 494949: There is a triangle with two lines drawn from hypotenuse to longest leg, creating three similar triangles, each one is a right triangle. You are told that the two line segments (drawn on the inside of the triangle) create 3 lines of equal size (on the side of the hypotenuse of largest triangle) Then you are told that the area of the smallest triangle is 42 and asked to find the area of the largest triangle. (you are not given any lengths)

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Question 494919: One side of the triangle is 1 in. longer than the shortest side and is 1 in. shorter than the longest side. The perimeter is 17 in. Find the dimensions of the the triangle.
I have tried 1x+(-x)+1x = 17 in. but it just doesnt seem right. thanks for your help!

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Question 494703: how tall will a triangle with a 6 foot base and a 10 foot angled side be
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Question 494689: I have 3 side measures given to me, but how do I use trig to find the angle measures?
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Question 494688: In a right angled triangle the length of the shortest side is unknown. The hypotenuse is 7cm more than double the length of the other side which is 3cm longer than the shortest side. Find the length of the hypotenuse.
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Question 494632: each of the two congruent sides of an isosceles triangle is 7cm shorter than twice the base. find the length of the three sides if perimeter of triangle is 106cm
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Question 494557: In a right triangle, the hypotenuse is 1 meter more than the length of one of the legs and this leg is 17 meters more than the length of the shortest leg. What are the lengths of the three sides of the triangle?
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Question 495111: The Hypotenuse of a Right Triangle is 3 times the length of a leg. The perimeter of the triangle is between 6 and 8. If the Hypotenuse is an integer, find the length of the other sides and solve for its perimeter.
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Question 494523: A triangle has a perimeter of 18 inches. If one side has length 8 inches, find the length of the shortest side if the other lengths are in the ratio of 2 units : 3 units.
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Question 495255: find the value of the missing term(s) of each of the following proportions.
A. 5/3 = N/12
B. 7/2 = 42/N
C. N/2 = 50/N

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Question 495253: The length of the hypotenuse of a right triangle is 10 and the length of one leg is 8. What is the length of the other leg?
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Question 495251: The lengths of two legs of a right triangle are 5 and 12. What is the length of the hypotenuse?
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Question 495264: prove that in a triangle, other than an equilateral triangle, angle opposite to the longest side is greater than 2/3 of a right angle.
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Question 495500: given the short leg of a 30-60-90 triangle, how do you find the other two sides?
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Question 495461: if one side of a triangle is 4 units and the two other sides are blank what are those two sides equal to? the triangle is a right triangle and the four is the base of the right angle.
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Question 495741: if an triangle has a angle that is 54 degrees and another that is 90 degrees what is the third angle

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Question 495645: A triangle has angles measuring 45 degrees and 55 degrees. What is the measure of the triangle's third angle?
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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