# How do you find the missing side of the right triangle with legs: a = 15, b = 20?

There are two cases one is $c = 25$ and the other $c = 5 \sqrt{7}$

#### Explanation:

Hence its a right triangle we can apply pythagoras theorem so

let a,b the sides of the right angle hence the hypotenuse is

${c}^{2} = {a}^{+} {b}^{2} \implies {c}^{2} = {20}^{2} + {15}^{2} \implies c = 25$

But b=20 could be also the hypotenuse of the right triangle hence

${20}^{2} = {15}^{2} + {c}^{2} \implies c = 5 \sqrt{7}$