What is the value of y?Enter your answer, as an exact value, in the box. Any help is very appreciated! I am completely stuck and have been working on this problem for 45 minutes.

Accepted Solution

There are two things to know. With a 45-45-90 triangle, the hypotenuse 
(longest side) is the shorter side multiplied by √2. So you would multiply √2 * √2 = 2. The hypotenuse of the 45-45-90 triangle. Next we use the second thing to know. In a 30-60-90 triangle. the shorter leg is x, the longer leg is x * √3, and the hypotenuse is 2x. Since y is the longer leg, we use 2x. y = 2(2) = 4. y = 4