the hypotenuse of a right triangle is 6 more than the shorter leg. the longer leg is three more than the shorter leg. find the l

Question

4 years ago

10

ength of the shorter leg

1 answer:

forsale [732] · Answer 1 · 2022-01-05T19:41:41+03:00

4 0

Answer:

9

Step-by-step explanation:

shorter leg = x

longer leg = x + 3

Hypotenuse = x + 6

x² + (x + 3)² = (x + 6)²

x² + x² + 6x + 9 = x² + 12x + 36

2x² + 6x + 9 = x² + 12x + 36

x² - 6x - 27 = 0

(x - 9) ( x + 3) = 0

x = 9 or x = -3 (rejected)