Question

The length of one of the legs of a right triangle is 5 and the hypotenuse is 10. What is the length of the other leg?

Answer 1

Explanation:

The Pythagorean Theorem states that for any right triangle, the sum of the legs square equals the hypotenuse square.

Basically,

`{a}^(2) + {b}^(2) = {c}^(2)`

Where a and b are the legs

And c is the hypotenuse.

Using the expression,

`{5}^(2) + {b}^(2) = {10}^(2)`

`{b}^(2) = 75`

`b = √(75)`