Questions on Geometry: Pythagorean theorem answered by real tutors!

Tutors Answer Your Questions about Pythagorean-theorem (FREE)

Question 571129: The measures of the legs of angle ABC are 5 and 8. Find the length of the hypotenuse. Show diagram and calculation. Simplify your answer.
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Question 571131: The hypotenuse of angle XYZ is 10 and length of one of its legs is 8. Find the length of the other leg. Show diagram and calculation.
Click here to see answer by mananth(10541)

Question 571125: Name three(3) sets of Pythagorean triplets and prove that they are indeed Pythagorean triplets.
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Question 570686: If a square has a diagonal of 40 inches how long is each side of the square
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Question 570395: a square garden has a side length of 10 meters. What is the length of the diagonal of the garden , to the nearest hundredth ?

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Question 570213: The foot of a ladder is placed 12 feet from a wall. If the top of the ladder rests 9 feet up on the wall, how long is the ladder?
Click here to see answer by nerdybill(5403)

Question 568719: What to do when both legs are x?

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Question 568719: What to do when both legs are x?

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Question 568656: (Pythogorean Theorem) The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder?
Click here to see answer by stanbon(48510)

Question 568107: It is my 2nd day in my geometry class, I have switched from an online school & I have an upcoming test on slope/midpoint/distance. Im stuck on a question from the study guide because I was not there for the lessons. I need help ASAP!
The question is:
The length of a rectangle is three times as long as it is wide. If the length of the diagonal is 10sqrt6 feet, find the area of the rectangle.
I cannot solve for this question no matter what I try!
Click here to see answer by scott8148(5879)

Question 566007: a squared = (x+3)
b squared = 4(x+2)
c squared = 625
I have got to:
xsq+6x+9+4xsq+16x+16=625
then get stuck
Click here to see answer by stanbon(48510)

Question 565887: if i have a right triangle where 26 is the hypotenuse(C) and bottom leg is 21 (C). how do i find A, the side leg?
Click here to see answer by stanbon(48510)

Question 565683: What do i do if ther are Square Roots? Like this problem: a=5, b=?, and c= sqaure root of 89? I have to find the missimg length!
Click here to see answer by Leaf W.(83)

Question 565556: one adjacent is 12cm, the other is x. The hypotenuse is x+8. What is x? I can work it out by trial and error and get the answer 5, but how do I get it using algebra?
Click here to see answer by stanbon(48510)

Question 565496: Find the missing lengths in each of these triangles. You must express your answers in radical form
Click here to see answer by Alan3354(21551)

Question 565306: using pythagorean theorem:
how do i solve using a square root as one of the sides?
for example: a^2=26 b^2=(square root 596) c^2=?

Click here to see answer by Theo(2967)

Question 563564: Diagonals of a rhombus are of lengths 16cm and 12cm.find the length of it's sides
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Question 562913: I have a question. what do you do if you need to prove a triangle is a right triangle, but you only have variable coordinates for that triangle. Here's what I have so far: Triangle ABC: A(x,0); B(x,y); C(2x,0)
Finding AB:

Finding BC:

Finding AC:

Final Steps: a^2+b^2=c^2

I'm confused on what to do next. I know that if a^2+b^2=c^2 then it is a right triangle. But, I can't solve it any furthur. I also can't use sin, cos, or tan. Thannk you in advance.

Click here to see answer by mananth(10541)

Question 562716: I've been stuck on this problem for a long time, and I REALLY need some help!
The question is:
"The longer leg of a right triangle is 4 feet longer than the other leg. Find the length of the two legs if the hypotenuse is 20 feet." I know that you set it up like this: x^2+(x+4)^2=20.
I need to show work, but I don't really know what I'm doing.
Click here to see answer by issacodegard(60)

Question 562396: do 26,24,10 make up an right angle?
Click here to see answer by fcabanski(385)

Question 562266: Y^2=x^2+12^2 represents the Pythagorean Theorem for a right triangle, where one of the shorter sides is 12 feet long, the other side is x(in feet), and y is the hypottenuse of the triangle.
Graph the equation using at least 5 to 8 points.
thank you
Rod Curley
Click here to see answer by ankor@dixie-net.com(12684)

Question 561713: The perimeter of a triangle is the "distance around the outside". If you have a triangle whose sides are a, b, and c, then the perimeter is a+b+c. Your peice of property is a triangle, which is bordered by three square peices of property. The first square (the hypotenuse) has and area of 200 square miles. The second square (side a) has an area of 50 square miles. The third square (side b) has an area of 72 square miles. What is the perimeter of your property?
(HINT: after you simplify your answer, it will be in the form a√b where a is a 2-digit number and b is a one-digit number.)
Please help me figure this out!
Click here to see answer by ankor@dixie-net.com(12684)

Question 561661: how to derive the pythagorean theorem?
Click here to see answer by richard1234(4789)

Question 560576: please help me to solve this questions; if the scale distance on a map varies directly as the actual distance.if the actual distance represented by 1
cm is 10km what is the actual distance corresponding to 84cm?

Click here to see answer by josmiceli(6777)

Question 560568: please help me to solve this:if the hypotenuse of an isosceles rigt triangle 18 squre of 2cm.find lenght of the other sides(hint:use pythagoren theorem
Click here to see answer by jim_thompson5910(21667)

Question 559794: A forty foot ladder is set against the wall. the distance of the base of the ladder to the wall is equal to the height of the ladder. How high is the ladder on the wall?
If I was to use the theorem, my answer is 0. (40)^2-(40)^2=b^2 1600-1600=b^2
0=b^2.
On the drawing it shows a 90o angle between the ladder and the wall.
Click here to see answer by mananth(10541)

Question 559439: can you find the distance between the following points using the Pythagorean theorem: (-4, -9), (-11, -9)
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Question 559122: two angles of a right triangle are complementary and are in the ratio of 1:2 What are the measures of the three angles?
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Question 557663: "Do the lengths of the three sides of an isosceles triangle always, sometimes, or never satisfy the Pythagorean theorem"
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Question 557602: Televisions are sold by the length of the diagonal across the screen. If a new 48-in television screen is 42 in. wide, how tall is the screen to the nearest inch?
Click here to see answer by rfer(10417)

Question 557594: right triangles ABC has legs of lengths 4 ft and 7 ft. what is the length of the triangle's hypotenuse?
Click here to see answer by neatmath(225)

Question 557587: a square has side length 9 in, what is the lenght of the longest line segment that can be drawn between any two points of the square?
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Question 557505: How do key into the calculator square root 180 when using the Pythagorean Theoran
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Question 557314: is pythagorean theorem a square + b square = c square
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Question 557314: is pythagorean theorem a square + b square = c square
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Question 556923: Using the Pythagorean Theorem, find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long.
Click here to see answer by JBarnum(1826)

Question 556837: beginning with a 3 dimentional rectangular box, how is the degree of the angle of turn determined where a line enters the box and then proceeds to the furthest corner within the box

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Question 556498: Using the pythagorean Theorem, find the hypotenuse of a right triangle whose legs are 8 and 15
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Question 556227: if (a)is the length of a leg of a triangle, then (a) is less than the length of the hypotenuse. true or false
Click here to see answer by Theo(2967)

Question 556184: i badly needed your precious help, please i think i'm going to die. my problem is the school stage is rectangular in shape. its diagonal is 13 m. the length is 7m longer than its width. find the length and width of the stage.. please i really need your answer
Click here to see answer by Theo(2967)

Question 555793: Caroline and Trevor are flying a kite. Caroline is holding the kite and has let out 80 feet of kite string. Trevor is standing 25 feet from Caroline and is directly under the kite. Caroline is holding the string 3 feet above the ground. How far above the ground is the kite?
Click here to see answer by richwmiller(7655)

Question 554914: the area of a square is 81 square centimeters, find the length of the diagonal.
Click here to see answer by MathTherapy(638)

Question 554914: the area of a square is 81 square centimeters, find the length of the diagonal.
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Question 554848: If the side of a triangle are 7,6,and 9 the triangle is an
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