Question

Does anyone know the answer?

Answer 1

Answer:

x = 3$\sqrt{2}$

Step-by-step explanation:

Since the triangle is isosceles then the 2 legs are congruent, both x

Using Pythagoras' identity in the right triangle

x² + x² = 6²

2x² = 36 ( divide both sides by 2 )

x² = 18 ( take square root of both sides )

x = $\sqrt{18}$ = $\sqrt{9(2)}$ = $\sqrt{9}$ × $\sqrt{2}$ = 3$\sqrt{2}$