Question

Find the value of x.

A 45, 45, 90 degree right triangle is drawn. One of the 45 degree angles is labeled. The leg adjacent to that 45 degree angle is labeled 5. The leg opposite that 45 degree angle is labeled x. The hypotenuse is labeled y.

Answer 1

x = 5

y = 5√2

Explanation:

In a 45-45-90 degree right triangle, the two legs form the right angle, and the hypotenuse is opposite the right angle.

The side lengths of a 45-45-90 right triangle are in the ratio

1 : 1 : √2

The legs are congruent, so if one leg has length 5, the other leg also has length 5.

The hypotenuse is √2 times the length of the legs.

x = 5

y = 5√2