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In adjoining figure, PQ bot BC, AD bot B...

In adjoining figure, `PQ bot BC`, `AD bot BC` then find the following ratios.
`(i) (A(DeltaPQB))/(A(DeltaPBC))` `(ii) (A(DeltaPBC))/(A(DeltaABC))`

Text Solution

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`(i) DeltaPQB` and `DeltaPBC` have same height `PQ`. Areas of triangles with equal heights are proportional to their corresponding bases
`:.(A(DeltaPQB))/(A(DeltaPBC))=(QB)/(BC)`.
`(ii) DeltaPBC` and `DeltaABC` have same base `BC`. Areas of triangles equal bases are proportional to their corresponding heights.
`:.(A(DeltaPBC))/(A(DeltaABC))=(PQ)/(AD)`.
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