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 hypotenuse is 10 feet long?

1 Answer
Mar 7, 2016

Answer:

The other leg is #6# feet long.

Explanation:

Pythagorean Theorem tells that in a right angled triangle, sum of the squares of two perpendicular lines is equal to the square of hypotenuse.

In the given problem, one leg of a right triangle is #8# feet long and the hypotenuse is #10# feet long,. Let the other leg be #x#, then under the theorem

#x^2+8^2=10^2# or #x^2+64=100# or #x^2=100-64=36# i.e.

#x=+-6#, but as #-6# is not permissible, #x=6# i.e.

The other leg is #6# feet long.