Let the long right angle side of a right triangle be x, the short right angle side be y and the hypotenuse be z.

From s square =89, we can get Z= root number 89.

S square =9, and X-Y=3 is deduced.

Column equation x 2+y 2 = 89

X-Y=3

Bring X=3+Y into a formula, where y 2+3y-40 = 0.

(Y-5)(Y+8)=0

Y=5 or Y=-8 (s)

So the short right angle side length is 5.