Question

Find the value of x.

Answer 1

Answer:

d. $8\sqrt{2}$

Step-by-step explanation:

This is a 45-45-90 right triangle with a Pythagorean triple of (x, x, x√2).  Because this is a 45-45-90, both legs have the same measure, namely 8.  Therefore, according to the Pythagorean triple, x = 8 (NOT the x in your diagram...the x in the Pythagorean triple).  That means that the hypotenuse has a measure of $8\sqrt{2}$, which is d.