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# rhombus

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A rhombus with area 840 has a diagonal of length 42. What is its side length?

May 19, 2021

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I believe there is insufficent evidence to solve this problem; I think the diagonals must be perpendicular.

Assuming they are, then the length of the other diagonal is $$\frac{840*2}{42} = 40$$

Then, the length of each side is going to be $$\sqrt{20^2+21^2}=29.$$

May 19, 2021