Question

Find the value of c. Give the answer in simplest radical form.

Answer 1

Answer:

x = 2$\sqrt{2}$

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 + (2$\sqrt{2}$ )² = 4²

x² + 8 = 16 ( subtract 8 from both sides )

x² = 8 ( take the square root of both sides )

x = $\sqrt{8}$ = 2$\sqrt{2}$