Question

Find the missing side. Write as an exact answer in simplest radical form.

Answer 1

Answer:

b = 36

Step-by-step explanation:

Assuming this is a right triangle with hypotenuse = c and legs a and b

Then using Pythagoras' identity.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + b² = c², and substituting values

15² + b² = 39², that is

225 + b² = 1521 ( subtract 225 from both sides )

b² = 1296 ( take the square root of both sides )

b = $\sqrt{1296}$ = 36