Question

Find the indicated side of the

right triangle.
6
45°
X
y
45°
= [?]√]

Answer 1

y = 6√2 units

Explanation:

In a 45-45-90 triangle, the two legs are congruent and equal to each other while the measure of the hypotenuse is equal to the measure of a leg * √2.

Thus, since one leg is 6 units, the hypotenuse (y) must be 6√2 units.

You can confirm this by doing the Pythagorean theorem, which is

a^2 + b^2 = c^2, where

• a and b are the legs,
• and c is the hypotenuse.

Now, we plug in 6 for and a and b and 6√2 for c

6^2 + 6^2 = (6√2)^2

36 + 36 = 72

72 = 72