SOLUTION: The question is: A right triangle has legs of length 5 inches and 12 inches. A.) Fine the area of a square drawn on the hypotenuse of the triangle. B.) What is the length of t

Algebra ->  Pythagorean-theorem -> SOLUTION: The question is: A right triangle has legs of length 5 inches and 12 inches. A.) Fine the area of a square drawn on the hypotenuse of the triangle. B.) What is the length of t      Log On


   



Question 75483: The question is:
A right triangle has legs of length 5 inches and 12 inches.
A.) Fine the area of a square drawn on the hypotenuse of the triangle.
B.) What is the length of the hypotenuse?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The question is:
A right triangle has legs of length 5 inches and 12 inches.
:
A.) Find the area of a square drawn on the hypotenuse of the triangle.
:
Using pythagorus:
a^2 + b^2 = c^2
:
c^2 would be the area of the square formed by the hypotenuse
:
5^2 + 12^2 = c^2
25 + 144 = 169 sq inches the area of the square formed by the hypotenuse
:
:
B.) What is the length of the hypotenuse?
Hypotenuse = sqrt(169) = 13 inches
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