A right triangle has leg length of 8 inches, and a hypotenuse a length 10 inches, what must be the length of the right other leg?
We can use the Pythagorean theorem to solve this problem.
Let the length of the other leg be x inches.
According to the Pythagorean theorem, the sum of the squares of the lengths of the two legs of a right triangle is equal to the square of the length of the hypotenuse.
Using this information, we can write the equation:
x^2 + 8^2 = 10^2
x^2 + 64 = 100
Subtracting 64 from both sides, we get:
x^2 = 36
Taking the square root of both sides, we get:
x = 6
Therefore, the length of the other leg must be 6 inches.