Question

Find x in this 45°-45°-90° triangle.



x =

Answer 1

Answer: 6 sqrt2

Explanation:

Sqrt = square root shorthand.

In a 45-45-90, the legs can be represented as x and the hypotenuse as x root2.

12 = x (sqrt2)

12/sqrt2 = x

Let’s rationalize this by putting the square root on top:

12sqrt2 / 2

Simplify:

6sqrt2