Question 184398
ANSWER A)IS THE CLOSEST.(.78,2.48) 
2.6^2=X^2+(X+1.7)^2
6.76=X^2+X^2+3.4X+2.89
2X^2+3.4X+2.89-6.76=0
2X^2+3.4X-3.87=0
{{{x = (-b +-sqrt (b^2-4*a*c ))/(2*a) }}} 
X=(-3.4+-SQRT[11.56-4*2*-3.87])/2*2
X=(-3.4+-SQRT[11.56+30.96])/4
X=(-3.4+-SQRT42.52)/4
X=(-3.4+-6.52)/4
X=(-3.4+6.52)/4
X=3.12/4
X=.78 ANS. FOR THE SMALLER SIDE.
.78+1.7=2.48 ANS. FOR THE LONGER SIDE.
PROOF:
2.6^2=.78^2+2.48^2
6.76=.6084+6.1504
6.76=6.76