Answer:
s represents the shorter leg
3s - 9 represents the longer leg
2s + 1 represents the hypotenuse
(2s + 1)2 = s2 + (3s - 9)2 Pythagorean Theorem
4s2 + 4s + 1 = s2 + 9s2 - 54s + 81 square binomial
4s2 + 4s + 1 = 10s2 - 54s + 81 combine like terms
0 = 6s2 - 58s + 80 set to 0
0 =3s2 - 29s + 40 divide both sides by 2
0 = (3s - 5)(s - 8) FOIL
{5/3, 8}
5/3 is not feasible since 3(5/3) - 9 is negative.
-by-step explanation:
