Question

Find the length of side a.​

Answer 1

12

Explanation:

The Pythagorean Theorem says that in a right triangle,
`(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2`, so in this triangle, the legs are 5 and a; the hypotenuse is 13.

`5^2+a^2=13^2\\25+a^2=169\\a^2=144\\a=√(144)\\a=12`