How to find the length of the diagonal of a kite - ISEE Upper Level Quantitative Reasoning

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Question

A kite has the area of . One of the diagonals of the kite has length . Give the length of the other diagonal of the kite.

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Answer

The area of a kite is half the product of the diagonals, i.e.

,

where and are the lengths of the diagonals.

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