Mark M. answered • 05/28/16

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s represents the shorter leg

3s - 9 represents the longer leg

2s + 1 represents the hypotenuse

(2s + 1)

^{2}= s^{2}+ (3s - 9)^{2}Pythagorean Theorem4s

^{2}+ 4s + 1 = s^{2}+ 9s^{2}- 54s + 81 square binomial4s

^{2}+ 4s + 1 = 10s^{2}- 54s + 81 combine like terms0 = 6s

^{2}- 58s + 80 set to 00 =3s

^{2}- 29s + 40 divide both sides by 20 = (3s - 5)(s - 8) FOIL

{5/3, 8}

5/3 is not feasible since 3(5/3) - 9 is negative.