As shown in the figure, make a square from the three sides of RT △ ABC. If the side length of the largest square is 8cm, then the sum of the areas of square m and square n is______ cm2.

As shown in the figure, make a square from the three sides of RT △ ABC. If the side length of the largest square is 8cm, then the sum of the areas of square m and square n is______ cm2.

∵ SM = AB2, Sn = ac2, and ∵ ac2 + AB2 = BC2 = 8 × 8 = 64, the sum of M and square n is 64cm2