Cut the largest square from the sheet iron of a right triangle. What's the area of the square? (40 meters at the bottom) 40 / 10 = 4 40 * 10 / 2 / (1 + 4) = 40 (M2) 40 * 2 / 10 = 8 (m) 8 * 8 = 64 (m)

Right triangle ABC, B is right angle, ab = 10, BC = 40, the vertex of square on AC is d
40 / 10 = 4: the area ratio of triangle BCD to triangle bad is 4:1
40 * 10 / 2 / (1 + 4) = 40 (M2): the area of triangle bad is 40 m2
40 * 2 / 10 = 8 (m): calculate the side length of the square as 8m
8 * 8 = 64 (m): get the square area

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