Asked by Sujan Kumar
If the area of A rhombus is 240 sq. meter and perimeter is 68 meter, find out the lengths of the diagonals?
Answers
Answered by
Steve
each side is 17, so its height is 17sinθ
where θ is the acute angle between its sides.
Thus,
17 * 17sinθ = 240
sinθ = 240/289
Now you have θ, and the diagonals are found using the law of cosines:
d^2 = 17^2 + 17^2 ± 2*17^2 cosθ
= 2*17^2 (1±cosθ)
where θ is the acute angle between its sides.
Thus,
17 * 17sinθ = 240
sinθ = 240/289
Now you have θ, and the diagonals are found using the law of cosines:
d^2 = 17^2 + 17^2 ± 2*17^2 cosθ
= 2*17^2 (1±cosθ)
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