Question

Find the unknown side length, x. Write your answer in simple

Answer 1

C

Explanation:

Using Pythagoras' identity in the right triangle.

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

x² + 32² = 48²

x² + 1024 = 2304 ( subtract 1024 from both sides )

x² = 1280 ( take the square root of both sides )

x =
`√(1280)`

=
`√(256(5))`

=
`√(256)` ×
`√(5)`

= 16
`√(5)` → C