Question

the area of rhombus is 576 sq cm and length of one of its diagonol is half of the length of the other diagonal then find the length of the diagonals


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Answer 1

Answer:

Let one diagonal of the rhombus = d2 cm The other diagonal d2 = 1 2 12 x d1 cm Area of the rhombus = 576 sq. cm 1 2 12 x (d1 x d2) = 576 1 2 12 x (d1 x 1 2 12d1) = 576 d1 x d1 = 576 x 2 x 2 = 6 x 6 x 4 x 4 x 2 x 2 d1 x d1 = 6 x 4 x 2 x 6 x 4 x 2 d1 = 6 x 4 x 2 d1 = 48 cm d2 = 1 2 12 x 48 = 24 cm ∴ Length of the diagonals d1 = 48 cm and d2 = 24 cm.Read more on Sarthaks.com - https://www.sarthaks.com/989458/the-area-the-rhombus-576-and-the-length-one-its-diagonal-half-the-length-the-other-diagonal