Question

What is the value of x in the triangle?

a 45-45-90 triangle with a leg of length 12 times the square root of 2 and hypotenuse of length x

A.

B.

C.

D.

Answer 1

Answer: The value of x in a triangle is 120°

Step-by-step explanation:

Answer 2

Answer:

x = 24

Step-by-step explanation:

A 45- 45- 90 triangle is isosceles ( base angles congruent )

The the legs are congruent , both 12$\sqrt{2}$

Using Pythagoras' identity in the right triangle , then

x² = (12$\sqrt{2}$ )² + (12$\sqrt{2}$ )² = 288 + 288 = 576 ( take square root of both sides )

x = $\sqrt{576}$ = 24