Precalculus Find side labeled x.

Question

Find the side labeled x.

x = 

 

Answer 1

use the Pythagorean Theorem

hypotenuse squared = sum of squares of the other 2 sides

x^2 = 38^2 + 38^2

x = sqr(2(38^2))

x = 38sqr2

Answer 2

This is a special right triangle, specifically a 45-45-90. The rule in finding the hypotenuse is to multiply the leg by the square root of 2. So the hypotenuse would be 38 times square root 2.