Find the length of the missing leg of a right triangle given a leg of length 8 and a hypotenuse of length 10?

Solution:

A right triangle given a leg of length 8 and a hypotenuse of length 10

Let us assume x is the missing leg of a right triangle.

hypotenuse² = leg² + leg²

10² = 8² + x²

x² = 100 - 64

x² = 36

x = √36

x = 6

Therefore, the length of the missing leg is 6.

Find the length of the missing leg of a right triangle given a leg of length 8 and a hypotenuse of length 10?

Summary:

The length of the missing leg of a right triangle given a leg of length 8 and a hypotenuse of length 10 is 6.