Questions: Unit Exam - Right Triangles and Trigonometry Find the indicated side of the right triangle. x=[?]

Solution Steps

We are given a right triangle with two angles of 45° each. This means it's a 45-45-90 triangle. One leg of the triangle is given as 6. We are asked to find the hypotenuse, labeled as 'y'.

In a 45-45-90 triangle, the two legs are congruent, and the hypotenuse is $\sqrt{2}$ times the length of each leg.

Since one leg is 6, the other leg is also 6. The hypotenuse (y) can be found by multiplying the leg length by $\sqrt{2}$. Therefore, $y = 6\sqrt{2}$.

Final Answer