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

Phthagorean theorme is

a^2+b^2=c^2

where you have a right triangle and c = hypotonuse (normally the longest side, and opposite of right angle)

a and b are the legs

so we are given

one leg=8

hypotonues=10

subsitute

leg=a or b so just subsitute for one

subsitutt for b

a^2+8^2=10^2

expand

8^2=64

10^2=100

a^2+64=100

subtract 64 from both sides

a^2=36

square root both sides

a=6

answe ris 6 feet