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`DeltaLMN~DeltaPQR`, `9xxA(DeltaPQR)=16xxA(DeltaLMN)`. If `QR=20`, then find `MN`. |
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Answer» `DeltaLMN~DeltaPQR`……(Given) `9xxA(DeltaPQQR)=16xxA(DeltaLMN)` `:.(A(DeltaLMN))/(A(DeltaPQR))=(9)/(16)` ……..`(1)` Now, `(A(DeltaLMN))/(A(DeltaPQR))=(MN^(2))/(QR^(2))`……. (Theorem of areas of similar triangle)…………`(2)` `:.(9)//(16)=(MN^(2))/(QR^(2))`......[From `(1)` and `(2)`] `:.(MN)/(QR)=(3)/(4)`......[Taking square roots on both the sides) `:.(MN)/(20)=(3)/(4)`........(`QR=20`, given) `:.MN=(20xx3)/(4) :.MN =15` |
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