Using the Pythagorean Theorem, how do you find the length of a leg of a right triangle if the other leg is 8 feet long and the hypothenuse is 20?

1 Answer
Jun 10, 2016

Length of other leg of right triangle is 18.33 feet

Explanation:

According to Pythagoras theorem, in a right angled triangle, the square of hypotenuse is equal to the sum of squares of other two sides.

Here in the right angled triangle, hypotenuse is 20 feet and one side is 8 feet,

the other side is

sqrt(20^2-8^2)=sqrt(400-64)=sqrt336

= sqrt(2xx2xx2xx2xx3xx7)

= 4sqrt21=4xx4.5826=18.3304 say 18.33 feet.