If the hypotenuse is 41 in. and one of the legs is 40 in., what is the length of the other leg?

1 answer

To find the length of the other leg, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let the length of the other leg be x.

Using the Pythagorean theorem, we can set up the equation:

x^2 + 40^2 = 41^2

x^2 + 1600 = 1681

Subtracting 1600 from both sides, we get:

x^2 = 81

Taking the square root of both sides, we get:

x = 9

Therefore, the length of the other leg is 9 inches.