Question

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

Answer 1

Answer:

C

Step-by-step 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 = $\sqrt{1280}$

  = $\sqrt{256(5)}$

   = $\sqrt{256}$ × $\sqrt{5}$

   = 16$\sqrt{5}$ → C