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In the given figure, DEFG is a square an...

In the given figure, DEFG is a square and `/_BAC = 90^(@)`.Show that `FG^(2) = BG xxFC`
ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/MATH_041_X_SQP_E02_003_Q01.png" width="80%"gt

Text Solution

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`DeltaADE~DeltaGBD and DeltaADE~ DeltaFEC`
`rArr DeltaGBA~ DeltaFEC` (AA Criterion)
`rArr (GD)/(FC) = (GB)/(FE)rArr GD xx FE = GB xxFC or FG^(2) = BG xx FC`
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