a square and an equilateral triangle have equal perimeters. if the diagonal of the square is 12 sqrt2 cm, find the area of the triangle. please i want it with explanation
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Diagonal of a square = side (root 2)
12 (root 2) = side (root 2)
Side = 12cm
P of square = 12 x 4 = 48
P of triangle = 3 x a = 48
=> a = 16
A of equilateral triangle = (root 3)/4 (a^2)
= (root 3) 64
= 64\sqrt{3}3
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