Question

In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches. What is the length of the other leg in inches?

Answer 1

Length of the other leg is `13.23` inches.

Explanation:

Pythagoras theorem states that the square of the length of hypotenuse is equal to sum of the squares of other two legs.

Hence if `L` is the length of the other leg in inches, then

`20^2=15^2+l^2`

or `400=225+L^2`

or `L^2=400-225=175`

Hence `L=sqrt175=13.23`