Question

In a right triangle, the length of the hypotenuse is 12 and the length of one leg is 8. What is the length of the other leg?

Answer 1

Length of other leg is `8.944`

Explanation:

According to Pythagoras theorem, in a right angled triangle

square on hypotenuse is equal to sum of the squares on other two sides. And hence, if hypotenuse is `12`; one leg is `8` and other leg is `L`, we have

`12^2=8^2+L^2`

or `144=64+L^2`

or `L^2=144-64=80`

and `L=sqrt80=sqrt(2xx2xx2xxxx5)=4sqrt5`

-= `4xx2.236=8.944`