Question

What is the value of x?

Answer 1

8√2 or 11.3

Explanation:

The triangle is isosceles right triangle since it is 45-45-90 triangle.

Therefore the hypotenuse is x while the other 2 sides are 8

Pythagorean theorem: c^2 = a^2 + b^2

=> x^2 = 8^2 + 8^2 = 64 + 64 = 2(8^2)

=> x = 8√2

=> x = 8√2 or 11.3