If the hypotenuse is 41 inches, and one of the legs is 9 inches, what is the length of the other leg? Don't forget your units. Ex: 9 in
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's assume the length of the other leg is 'x' inches.
According to the Pythagorean theorem:
x^2 + 9^2 = 41^2
Simplifying this equation:
x^2 + 81 = 1681
Subtracting 81 from both sides:
x^2 = 1600
Taking the square root of both sides:
x = √1600
x = 40
Therefore, the length of the other leg is 40 inches.