Question

The shorter leg of a triangle is 8cm shorter than the longer leg. The hypotenuse is 8cm longer than the longer leg.

Answer 1

Answer:

Shorter leg: 11.31- 8 = 3.31

Longer leg: 11.31 + 8 = 19.31

Explanation:

Let the longer leg be x

(x-8)² + x² = (x+8)²

x² - 64 + x² = x² + 64

x² + x² = x² + 64 + 64

2x² = x² + 128

x² = 128

x≈11.31

11.31- 8 = 3.31

11.31 + 8 = 19.31