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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.

Respuesta :

mikaiwills28

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

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

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

The the legs are congruent , both 12[tex]\sqrt{2}[/tex]

Using Pythagoras' identity in the right triangle , then

x² = (12[tex]\sqrt{2}[/tex] )² + (12[tex]\sqrt{2}[/tex] )² = 288 + 288 = 576 ( take square root of both sides )

x = [tex]\sqrt{576}[/tex] = 24