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Question
If figure OPRQ is a square and ∠MLN = 90°. Prove that QR2 = MQ × RN
Solution
We have ∆QMO ~ ∆RPN
`"MQ"/"PR" = "QO"/"RN"`
`"MQ"/"QR" = "QR"/"RN"`
QR2 = MQ × RN
Hence it is proved.
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