Question

Find the length of x

Answer 1

Answer:

x = 8$\sqrt{2}$

Step-by-step explanation:

The triangle is isosceles with legs congruent, both x

Using Pythagoras identity in the right triangle

x² + x² = 16²

2x² = 256 ( divide both sides by 2 )

x² = 128 ( take the square root of both sides )

x = $\sqrt{128}$ = $\sqrt{64(2)}$ = $\sqrt{64}$ × $\sqrt{2}$ = 8$\sqrt{2}$