Question

Find the value of x. A. 5√2/2 B. 5 C. 10 D. 10√2

Answer 1

C

Explanation:

Note that the right triangle has two tick marks.

This means that the sides are equivalent.

Therefore, this is a 45-45-90 triangle.

In a 45-45-90 triangle, the side lengths are n, and the hypotenuse is n√2

Since n is 5√2, then the hypotenuse x is n√2. Thus:

`x=n\sqrt2\\x=(5\sqrt2)\sqrt2`

Simplify:

`x=5(2)=10`

The answer is C :)