Question

The segments formed by the altitude to the hypotenuse of a right triangle are 8 and 10. Find the shorter leg of that triangle.

Answer 1

Answer: 6

Step-by-step explanation:

Since the hypothenuse is 10 and the larger leg of the triangle is given as 8, the shorter leg will be calculated as the square of the hypothenuse minus the square of the longer leg after which we find the square root of the value gotten. This will be:

Shorter leg² = 10² - 8²

Shorter leg² = 100 - 64

Shorter leg² = 36

Shorter leg = ✓36

Shorter leg = 6