Question

Find the value of x. a. 4 b. 8 square root 2/2 c. 4 square root of 2 d. 8 square root of 2

Answer 1

Answer:

8√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}8

2

, which is d.