Please answer question 1 in detail. Share with your friends Share 0 Lovina Kansal answered this Dear student Let AB=10x+yand CD=10y+x.It follows that CO=AB2=10x+y2and CH=CD2=10y+x2Applying the pythagorean theorem on CO and CH,OH=10x+y22-10y+x22=94×11x+yx-y=3211x+yx-yBecause OH is a positive rational number, the quantity 11x+yx-ycannot contain any square roots.Either x-y or x+y must be 11.However, x-y cannot be 11, because both ust be digits.Therefore, x+y must equal eleven and x-y must be a perfect square(since x+y>x-y).The only pair (x,y) that satisfies this condition is (6,5).So, length of AB=10a+b=10×6+5=65 units Regards 1 View Full Answer
