Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a 56 millimeters and c = 65 millimeters, what is b? if necessary, round to the nearest tenth.

Answer 1

b = 33 millimeters.

Explanation:

In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the legs (a and b). So, using a=56 and c=65, we can find b by solving the equation: 56^2 + b^2 = 65^2. This gives b = sqrt(1089) = 33 millimeters :)