Questions on Geometry: Triangles answered by real tutors!

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Question 611112: Angles - The sum of the measures of three angles in a triangle is 180 degrees. The measure of one angle of a triangle is one degree more than three times the measure of the smallest angle. The measure of the third angle is 13 degrees less than twice the measure of the second angle. Find the measure of each angle.
(now the back of the book says the answers are 19 degree, 58 degree, & 103 degree)but I don't know how they got them.

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Question 611433: what is the length of the diameter of a circle if the radius is 3.2cm

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Question 611656: show me a graphed triangle with vertices
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Question 611708: How do I solve this problem? : The base is a 45°-45°-90° triangle with a leg of 5 in. The height is 1.8 in. Find the volume of the triangle.
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Question 611715: to the nearest centimeter what is the length of the altitude to the hypotenuse

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Question 611934: The altitude of an equilateral triangle is 3root3, find its area?
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Question 611972: Two sides of a triangle measure 26 & 42. Which inequality shows all the possible values of p, the perimeter of the triangle?
my homework is multiple choice, and I tried to solve it.... i got 16

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Question 612046: The ratio of the angle measures of a triangle is 1:2:3. Find the angle measures. Then classify the triangle by it's angle measures.
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Question 612207: what kind of triangle has sided lengths 20 21 28
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Question 612369: PLEASE help me with this....
one side of a triangle has a length of 5x-2. a longer side has a length of 6x+7. if T represents the length of the third side which of the following is true?
a.x+5 < T <11x+5

b.x+9 < T <11x+5

c.5x-2 < T <6x+7

d.5x+7 < T <6x-2

I had to space out the answers like that because for some reason if i didn't they wouldn't show up correctly.
I've tried triangle inequalities,and i've went to the book and read about triangles to try and solve the LAST question on my homework and i CAN NOT figure this out! I have a picture drawn out of a triangle and labeled sides with the info that was given, im just stuck.

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Question 612491: a triangle has sides of 4,7, and 10. in a similar triangle the shortest side is 8 and the longest side is x. write a proportion for that models the situation. solve the proportion for x
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Question 612538: if I'm told the area of a triangle is 81 inches squared and the base is twice the height how do I solve?
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Question 612586: if the altitude of a triangle is 10 cm and its area is 120cm^2, what is its base?
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Question 612586: if the altitude of a triangle is 10 cm and its area is 120cm^2, what is its base?
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Question 612590: If one side of a triangle is 1/3 the perimeter, second is 7cm and third is 1/5 the perimeter, what is the perimeter of the triangle?

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Question 612610: I know the answer to this already but I don't know the proper way to solve for it so that is what i'm looking for here.
The hypotenuse of a right triangle is 25m and the difference between the lengths of the two legs are 17m what are the lengths of the two sides.

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Question 612892: The ratio of the areas of two similar triangles is 25:36. What is the ratio of a pair of corresponding sides of these two triangles?
Help is greatly appreciated. Thank you.

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Question 613100: hw can i see that its necessary 4 me 2 use the sine rule?

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Question 613062: In a triangle with the sides 7 10 and 12 what is the smallest angle?
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Question 613256: If you have an equilateral triangle and the top angle of a scalene triangle joined to the equilateral triangle measures 22 degrees what do the other 2 angles measure?







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Question 613485: hi, I really need your help . I have to do this problem in front of my class tomarrow!
i need to find the area of the triangle ABC
A: 110 degrees B: 6 cm C: 7 cm.
Thanks!!

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Question 613487: how do you find the length of an altitude if you already have the length of all sides?
Click here to see answer by stanbon(75887) About Me 

Question 613548: Please help figure this out. "The perimeter of an equilateral triangle is 36 inches. Find the length of the altitude of the triangle."

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Question 613603: The hypotenuse of a 45-45-90 triangle has a length of 8 units. What is the length of one of its legs?
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Question 613693: Triangle ABC is an isosceles triangle. Sides AB and BC are the legs and side AC is a base. If AB is equal to 5 cm, then what is the length of BC?

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Question 613738: I'm trying to find an easy way to solve this problem. More mathematically rather than by drawing it in the graph and deduce it.
Question: Triangle ABC is isosceles, with A at (1,1) and B at (5,1). Which of the following could not be point C?
a. (1, -3)
b. (1,5)
c. (3, -2)
d. (3,3)
e. (5, -5)
Advance thanks for checking into this.

Click here to see answer by ewatrrr(24785) About Me 
Question 613738: I'm trying to find an easy way to solve this problem. More mathematically rather than by drawing it in the graph and deduce it.
Question: Triangle ABC is isosceles, with A at (1,1) and B at (5,1). Which of the following could not be point C?
a. (1, -3)
b. (1,5)
c. (3, -2)
d. (3,3)
e. (5, -5)
Advance thanks for checking into this.

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

Question 613750: I'm given a 90 degree triangle,and the short leg is 6 inches. The hypotenuse is labelled as 'h', and I'm given the area, which is 39 inches squared. I need to find what 'h' is.

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Question 613777: In triangle ABC if angle A = 47.1, side b = 59.6, and side a = 52.2, find angle B.
I've tried several methods such as sin cos tan (before realizing nowhere was it stated that the triangle was a right triangle), proportions, etc but I cannot figure this out. I cannot find anything useful in my textbook either.

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Question 613892: What's the altitude of a triangle? I want a very simple definition please.
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Question 614200: Find the measure of the third angle of each triangle,and classify by side and by angle.
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Question 614350: the base of a triangle is 3 meters less then twice the height find the base and the height if the area of a triangle is 22 square meters
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Question 614484: I'm making up questions for extra credit in my class. Can you please tell me if this is an answerable question and what you think the answer is? "If the height of a triangle is tripled, the area of the triangle will become...?"
A. 1 1/2 times larger
B. 3 times larger
C. 6 times larger
D. 9 times larger
E. None of the above

Click here to see answer by richwmiller(17219) About Me 

Question 614512: Mary has cut out a triangle from cardboard.
Both sides measure 20 inches each. The base of the triangle measure 24 inches in length.
If a dashed line is drawn down the center of the triangle, how many inches
would the dashed line be?
A. 24 inches
B. 20 inches
C. 16 inches
D. 12 inches
Would someone please explain to me!

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Question 614882: How many possible equilateral triangles have an area of 20 units squared.
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Question 614892: if i have a triangle with the angles A=40 B=50 and C=90 and side c=5 what are a and b

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Question 614982: what is the measure of a triangle 3rd angle if 2 angles are each 42 degrees?
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Question 614856: One equilateral triangle has sides 5 ft long. Another equilateral triangle has sides 7 ft long. What is the ratio of the areas of the triangles?
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Question 615224: If one side of a triangle(A) is 81" and one is 22"(B) with a 90 degree angle what is the length of the other side(C)
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Question 615449: The area of a triangle is 16 square units. The base of the triangle is x+4. The height of the triangle is x. Find x
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Question 615190: 1 of triangles three arms 4,5,3 ft whats the total area of this triangle ?
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Question 615868: the altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 25 cm and 30 cm long. how long is the altitude? 
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Question 615869: The hypotenuse of a right triangle is nine more than the shortest leg. The longer leg is only one more than the shortest leg. Find the length of the hypotenuse of the triangle.
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Question 616150: how do you find a missing side of a triangle if you only know the midpoints of to sides of the triangle.]
example:Points, b,d and f are midpoints of the side of ACE. EC=39 and DF=18 find. ac

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Question 616182: If RS = 10, RT = 4, and ST = 8, find RX.
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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