Questions on Geometry: Triangles answered by real tutors!

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Question 498142: the third angle in an isosceles triangle is 8 degrees more than twice as large as each of the two base angles. find the measure of each angle
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Question 498104: One side of a triangle is half the longest side. The third side is 10 meters less than the longest side. The perimeter is 45 meters. Find all three sides.
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Question 498207: the length in inches of the longest side of aright triangle is equal to top the square root of 75. What is the best eatimate for the length of the side in inches.
1) between 4 and 5
2) between 5 and 6
3) between 6 and 7
4) between 7 and 8
5) between 8 and 9

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Question 498417: If x-y=42, then what is the value of x? The triangle is a right triangle.
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Question 498813: Two angle measures in a triangle are 47� and 43�. What type of triangle is it
?
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Question 498792: the area of an equilateral triangle os 16 root 3m sq. find its perimeter ?
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Question 498767: An isosceles triangle had two sides 8cm long. The base angles were 50o degrees. Another isosceles had two sides 4cm long with the angle in between 50o degrees. Are they congruent... yes or no?
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Question 498739: the lengths of the sides of a triangle are given. classify each triangle as acute, right, or obtuse. 4,5,6
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Question 498738: find the value of x. triangle is 20 - 16 - x
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Question 498737: find the value of x. triangle is 25 - 24 - x
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Question 498732: the lenghts of the sides of a triangle are given. classify each triangle as acute, right or obtuse, 15,8,21
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Question 498712: to the nearest degree, what is the measure of the smallest angle of a right triangle whose legs measure 9 and 15
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Question 498669: how would i construct a triangle with angles of 14cm, 48cm and 50 cm?
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Question 499005: Please tell wether the given side lengths form a right triangle.
1)8,15,17
2)5,6,9
3)2.4,2.5,3.6
4)60,80,100
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Question 498500: If ABC is a right triangle and m(A) = 42degrees, what is the measure of the other acute angle?
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Question 498707: Use the five steps for problem solving to answer the following question. Please show all of your work.
The area of a triangular section of a store cannot be more than 910 sq. ft. If the height of the triangular section is 52 feet, what should the base be?
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Question 498473: Please help me answer this question. One angle of a triangle is twice as large as the smallest. Another is three times as large as the smallest. What are the three angles? I tried three, six, and nine but I don't know if they are right.
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Question 498384: The vertices of a triangle are located at X(-2,-1),Y(2,5), and Z(4,3). What is the perimeter of this triangle ?
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Question 499116: Two sides of a triangle are sqrt 3 and sqrt 2 units.The medians to these sides are perpendicular to each other.What is the length of the third side?
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Question 499108: An acute angle triangle has sides 10,24 and x.What is the possible integral values of x?
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Question 499206: Please help me with this question....
Find the measure of the vertex angle of an isosceles triangle if one of the base angles measures x degrees......
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Question 499225: If in an eqilateral triangle ABC the coordinates of B and C are (1,0) and (5,0) respectivly. What are coordinates of A?
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Question 499252: Two angles of a triangle are 33 degrees and 42 degrees. What is the measure of the third?

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Question 499316: the length of the hypotenuse of a right triangle is 13 cm, and the length of one leg is 12 cm. What is the area of the triangle?
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Question 499520: the sides of the triangle are in the ratio 3:2:4 if the perimeter of the triangle is 27cms find the length of each side
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Question 499758: The perimeter of an equilateral triangle is 7 inches more than the perimeter of a square, and the side of the triangle is 5 inches longer than the side of the square. Find the side of the square.
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Question 499782: if xy = 10 and xw = 12, what is vy?
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Question 499782: if xy = 10 and xw = 12, what is vy?
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Question 499839: if xy = 9 and vw = 6 what is vx?
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Question 500019: If the measure of the third angle of the triangle is 35 degrees more than three times the measure of either of the other two angles, find the measure of each triangle.
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Question 500074: The area of a triangle is 27 square inches. The height is 3 times the length of its base. Find the height and base of the triangle.
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Question 500660: If the perimeter of an equilateral triangle of sides x is doubled, by how much does the area increase?
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Question 500720: The area of a triangle abc is 98m^2, determine that to the nearest degree where 0 degrees < or equal to that < or equal to 90 degrees.
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Question 500772: The area of a triangular sheet of paper is 18 square inches. One side of the triangle is 14 inches more than two times the length of the altitude to that side. Find the length of that side and the altitude to that side.

I have looked at the examples on here and struggled even with their guidance as to where some of the numbers come from so far I have..
base=2a+14
Altitude=a
area= 18
so.. 2a+14= 18... so 2a=4.. I'm just very lost.
Then I got 2x^2+14x-36=0 but when I tried to solve for it nothing was divisible by -18 that would equal 7 after you take a 2 out of the above question..
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Question 500829: how do i find the area of a triangle whose sides are 12 meters long?

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Question 500861: in a right angled triangle if one of the acute angle is twicethe other,prove that the hypotenuse is double the side opposite to smallest angle.

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Question 500791: D and E are the points on the base B of a triangle ABC such that BD=CE and AD=AE Prove that ABE=ACD
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Question 500711: What is the perimeter of a triangle with side a: 2y, angle A: 2z-y, angle B: x+y-10 and angle C: 3x-z+20?
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Question 500698: a right triangle has one 14 degree angle, what are the other angles?
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Question 500634: two sides of triangle have sides 6 and 21. The length of the third side must be greater than _______ and less than _____
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Question 500584: you want to build a fence that has twice the perimeter of a triangular plot of land, the land plot has dimensions 1 and 1/2 yd, 2 yd, and 3 and 1/4 yd. What is the perimeter of the fence?
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Question 500319: Problem:
ABC is a right triangle. The length of its perimeter is equal to 60 units and the size of its area is equal to 150 units squared. Find the two sides and hypotenuse.
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Question 500999: the perimeter of a triangle is 40. if the length of the hypotenuse is 17, find the length of the longer leg of the triangle.

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Question 501085: What does it say about a triangle if one of its sides is also an altitude?
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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