marinekimmy marinekimmy

08-05-2019
Mathematics

contestada

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 length of the shorter leg

Respuesta :

TheStranger TheStranger

08-05-2019

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)

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