Question

the diagonals of a rhombus is 120cm².If one diagonal is 20cm find the​

Answer 1

related Question ⤵️

An area of a rhombus is 120 cm square, and one of its diagonal is 24 cm. What is the measurement of each side of the rhombus?

Answer ⤵️

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

Answer 2

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Area of a rhombus=21×product of its diagonals

Area of a rhombus=21×d1×d2

⇒120=21×20×d2

⇒d2=20120×2=12cm

∴ the other diagonal is 12cm

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