area of a rhombus is 120cm^2 and of the diagonal is 6cm. find the other diagonal
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Area of rhombus A = (d1d2)/2 => 120 = (24)(d2)/2 => d2 = 10 cm. Length of side of rhombus s = Hypotenuse of right triangle h with half the lengths of the two diagonals d1, d2 as the other two sides at right angles. h^2 = (d1/2)^2 + (d2/2)^2 => h^2 = (24/2)^2 + (10/2)^2 = 12^2 + 5^2 => h = 13 cm => length of side of rhombus s = 13 cm
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