Questions on Geometry: Triangles answered by real tutors!

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Question 307: The difference between the measures of two complementary angles is 58 degrees. What is the measure of the two angles if using two variables (x and y).
Tricia
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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?
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Question 1046: If the sides of a triangle measure 8,9,and 10,find the longest side of a similar triangle whose perimeter is 81.
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Question 1375: obtuse isosolese triangle angles 120/30/30.equal legs 7.what is formula to determine third (longest leg/base)?
Click here to see answer by khwang(438)

Question 1375: obtuse isosolese triangle angles 120/30/30.equal legs 7.what is formula to determine third (longest leg/base)?
Click here to see answer by abhinav75(8)

Question 1420: To reach a damsell in distress, a knight places a 13-foot ladder against the castle wall. The base of the ladder is 7 feet less than the distance from the top of the ladder to the ground. How high on the castle will the ladder reach?
Click here to see answer by usyim88hk(158)

Question 1513: If the area of a triangle is 125 m� and the base width equals 25 m. What is the height of the triangle.
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Question 1750: I am a little rusty with this, but a triangle with 50/65/65 degree angles. The side between the 65 degree angles is 60 inches, what is the lenght of the other 2 sides??
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Question 1774: a right triangle has an area of 84 square feet and a hypotenuse of 25 feet long what are the lengths of its other two sides?
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Question 1745: right triangle hypotenuse is 738 feet area is 87120 can side A and B be determined with these knowns?
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Question 1930: I asked a question about a boxing ring yesterday and have studied up and down on the pythoragean theorum and have gotten nowhere with it. My question is this:
A boxing ring in the shape of a square, 20 ft on each side. How far apart would the boxers be when they are in opposite corners of the ring?
I think it would be 20 ft but I cannot figure out how to explain it.
Click here to see answer by longjonsilver(2297)

Question 1952: One more....and I will give you a break from this stuff. :)
A triangular sail has an area of x^2+5x+6 square meters and a height of x+3 meters. Find the length of the sail's base.
I got this so far:
Area=x^2+5x+6m^2....I am not exactly sure if it's right or what to do from here.

Click here to see answer by longjonsilver(2297)

Question 2402: I have 90 degree triangle with two sides known how do I get the height of the triangle?
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Question 2481: I have a triangle... it doesn't look like a right triangle, but the teacher says don't assume anything. the triangle is labeled so: A B C. Intersecting angle B is a line that intersects segment AC.
here are the measurements of the sides that are given in the problem.
AC = 20
EG = 12
FH = 6
BD = x. i must find x. please answer as soon as soon as you can. I know that you all have lives as well, and that you are most likely busy, especially at this time of the year, now that exams are closing in. However, I have an exam myself in two days. However, I have already turned in my textbook, and have no way of getting an answer to this anywhere else. Please help me out. (an explanation of this type of problem would be fine, you dont necessarily have to work it out for me.)
THANK YOU SO MUCH. -Ben Elam
Click here to see answer by gsmani_iyer(201)

Question 2522: The sides of a triangular garden are 10 ft, 22 ft, and 18 ft. Is the garden in the shape of a right triangle? Justify your answer.
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Question 2522: The sides of a triangular garden are 10 ft, 22 ft, and 18 ft. Is the garden in the shape of a right triangle? Justify your answer.
Click here to see answer by kiru_khandelwal(79)

Question 2912: Find if the triangle is acute or obtuse from the sides of given length
1)5,8,9
2)24,8,(35
3)2(10,7,3
Click here to see answer by khwang(438)

Question 2999: Okay I had a problem on a test for Intermediate Algebra-
I had to find all 3 angles in degrees for a triangle.
The problem was that the smaller angle is half of the larger angle and that the second angle is 25 degrees less than the larger angle.
What is the measure of the larger angle? (and other angles)
Thanks for anyone who can key me in here...I got something completley wrong
x1 (smaller angle)= 28 degrees
x2 (medium angle)= 68 degrees
x3 (larger angle)= 84 degrees
But my answer is all wrong because 68 is not 25 less than 84 and 28 is not half of 84....so very confused =/

Click here to see answer by longjonsilver(2297)

Question 2947: A right-angle triangle has hypoteneuse 10 inches, and the height drawn from the right angle to the hypoteneuse is 6 inches. Find the area of this right-angle triangle
Click here to see answer by usyim88hk(158)

Question 3716: I have an acute triangle with its two small sides known. I want to find the third side. I don't know any angle. Is it possible.
Click here to see answer by longjonsilver(2297)

Question 3780: A 13-ft ladder is leaning against a house. The distance from the bottom of the ladder to the house is 7 ft less than the distance from the top of the ladder to the ground. How far is the bottom of the ladder from the house?
Click here to see answer by longjonsilver(2297)

Question 3887: The sides of a triangle are 3, 4, and 5 units long. What is the perimeter?
Is the answer 12 units?
Click here to see answer by mudassirhussain(4)

Question 3887: The sides of a triangle are 3, 4, and 5 units long. What is the perimeter?
Is the answer 12 units?
Click here to see answer by ILAxbaseballx720(3)

Question 3884: The sides of a triangle are 3, 4, and 5 units long. What is the perimeter?
Is the answer 12 units?
Click here to see answer by longjonsilver(2297)

Question 3817: From an airplane 6000 feet above the ground, you see a landing strip at an angle of depression of 24.5 degree. Measuring the distance along the ground, how far are you from the landing strip?
Click here to see answer by longjonsilver(2297)

Question 4217: I am having trouble setting up the following equation:
Suppose that the length of one leg of a right triangle is 2 inches less than the length of the other leg. If the length of the hypotenuse is 10 inches, find the length of each leg.
x�+(x+2)�= 10� ? Is this correct?
Click here to see answer by longjonsilver(2297)

Question 4337: How can I measure a tree or a pole or any point above ground without the use of a transit or other instruments.
thank you.

Click here to see answer by rapaljer(4671)

Question 4402: need to find what the sides of a equilateral triangle measure on the inside of a six foot circle. and how you came about the answer
Click here to see answer by khwang(438)

Question 4472: The area of a triangle is 80 square feet. find the altitude if the base is 16 feet.
Click here to see answer by granville(2)

Question 4472: The area of a triangle is 80 square feet. find the altitude if the base is 16 feet.
Click here to see answer by guapa(62)

Question 4474: In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the thurd angle is 20 degrees less than the second angle. What is the measure of each angle?
Click here to see answer by Abbey(339)

Question 4061: use the formular for the area of a rectangle and the pythagorean Theorem to solve: A small television has a picture with a diagonal measure of 10 inches and a viewing area of 48 square inches. find the length and width. the width is y and the length is w. I know x times y = 48 square inches. y = 48 divided by x and I must be not setting up the equation. thought it was 2x + 2y = something????? x is 8 and y is 6 but I need step by step please.
Another question is this that I cannot work through.
A planet's orbit follows a path described by 16x^2 + 4y^2 =64. A comet follows the parabolic path y=x^2 - 4. Where might the comet intersect the orbiting planet?
Hope you can help me ASAP

Click here to see answer by ichudov(507)

Question 6662: How did you find the area of a triangle?

Click here to see answer by Mike(39)

Question 7320: How do i work with finding the length of all three sides to an special right triangle with the measures of two yards for side "a".
Click here to see answer by glabow(165)

Question 7427: In triangle ABC angle A = 2x, Angle B = (x-45), angle C = (x-15). What kind of triangle is ABC.
Click here to see answer by CharStar(110)

Question 8163: find the missing length in a right triangle whose hypotenuse =20 and height=15
Click here to see answer by Earlsdon(6294)

Question 8163: find the missing length in a right triangle whose hypotenuse =20 and height=15
Click here to see answer by CharStar(110)

Question 8172: i have a rectangle w/a perimiter of 98 ft.
i need to find the value of x.
the height on both sides = x+3
the width on both sides= 2x+1
i got 17.7 like this 98=2(2x+1) + 2(x-3)
98=6x-5
103=6x
i'm just not sure if i did it correctly

Click here to see answer by bonster(299)

Question 8174: I have a right triangle I have to find the area for
On the figure they have points a b c
A to C 6ft C to B is 9ft and I must need A-B
the right triangle does show a 90 degree at point C

Click here to see answer by longjonsilver(2297)

Question 8569: Triangle ABC has vertices A(0,4), B(1,2), and C(4,6). Determine whether triangle ABC is a right triangle. Explain.
Click here to see answer by khwang(438)

Question 8615: The area for a triangle is (4x squared + 10) squared. the base is 4x-4 and the height is x-3 and the hypotinus is 2x+5. what is x? how do you find what x is?
Click here to see answer by jennifer(9)

Question 9107: How can you make 9 triangles By adding three lines to the letter M?
Click here to see answer by bonster(299)

Question 9181: show me formulas for the height of a triangle
Click here to see answer by rapaljer(4671)

Question 9649: How do I find the height of an scalene triangle, where not angle degrees are provided, only the following side dimensions?:
The base=21, the longest side=20 and the shortest side=13
My main problem is that there are no angle degrees information provided.
Thanks in advance for your help.

Click here to see answer by Earlsdon(6294)

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