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The diagonal of a square is 14 cm. Find its area.
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The diagonal of a square is 14 cm. Find its area.

User BogdanC
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Answer:


let \: the \: length \: of \: one \: side \: be \: l \\ {l}^(2) = {14}^(2) - {l}^(2) \\ 2 {l}^(2) = {14}^(2) \\ lāˆš(2) = 14 \\ l = (14)/( āˆš(2) ) \: cm \\ area = \: l * l \\ = ( { (14)/( āˆš(2) )) }^(2) \\ = 98 \: {cm}^(2)

User Enzo Lizama
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