SOLUTION: A right triangle has a leg measuring 5 inches and a hypotenuse measuring 8 inches what is the area?

Algebra ->  Pythagorean-theorem -> SOLUTION: A right triangle has a leg measuring 5 inches and a hypotenuse measuring 8 inches what is the area?      Log On


   

Question 129227This question is from textbook Geometry
: A right triangle has a leg measuring 5 inches and a hypotenuse measuring 8 inches what is the area? This question is from textbook Geometry

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
A right triangle has a leg measuring 5 inches and a hypotenuse measuring 8 inches what is the area?

a leg measuring 5+in

the area A of the square formed by the leg is:
A+=+%285in%29%5E2+=+25in%5E2

a hypotenuse measuring 8+in
the area A of the square formed by the hypotenuse is:
A+=+%288in%29%5E2+=+64in%5E2

the other leg measuring xin
use Pythagorean Theorem to find it:

x%5E2+=+%288in%29%5E2+-+%285in%29%5E2
x%5E2+=+64in%5E2+-+25in%5E2
x%5E2+=+39in%5E2
x+=+sqrt%2839in%5E2%29
x+=+6.25in%29

the area A of the square formed by the leg x is:
A+=+%286.25in%29%5E2+=+39in%5E2