Question 113601
2.4^2=X^2+(X+1.4)^2
5.76=X^2+X^2+2.8X+1.96
2X^2+2.8X+1.96-5.76=0
2X^2+2.8X-3.8=0
2(X^2+1.4X-1.9)=0
USING THE QUADRATIC EQUATION WE GET:
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
X=(-1.4+-SQRT[1.4^2-4*1*-1.9])/2*1
X=(-1.4+-SQRT1.96+7.6])/2
X=(-1.4+-SQRT9.56)/2
X=(-1.4+-3.092)/2
X=(-1.4+3.092)/2
X=1.692/2
X=.846 ANSWER FOR THE SHORTER SIDE.
.846+1.4=2.246 ANSWER FOR THE LONGER SIDE.
PROOF
2.4^2=.846^2+2.246^2
5.76=.716+5.044
5.76=5.76