Question

What is the value of y? triangle a b c has right angle c with hypotenuse labeled 3 square roots of 2. angle a is 45 degrees and its opposite side b c is labeled y. enter your answer, as an exact value, in the box?

Answer 1

y = 3.

In a 45-45-90 right triangle, the side lengths can be represented as t, t, and t√2, with the longest side, t√2, being the hypotenuse. Since the hypotenuse is 3√2,

t√2 = 3√2

This means t has to be 3.