Questions: For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Solution Steps

We are given a right triangle with legs of length 8 and 7, and we are looking for the length of the hypotenuse, $x$.

The Pythagorean theorem states that in a right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse. In this case, we have: $8^2 + 7^2 = x^2$

$64 + 49 = x^2$ $113 = x^2$ $x = \sqrt{113}$ $x \approx 10.63$

Final Answer