Question

In AABC, BP and CQ are perpendiculars from B and a to the opposite sides. If AB = 16 cm, AC = 24 cm. and CQ = 20.4cm, find BP. ​

Answer 1

In △ ABC, P and Q are points on sides AB and AC respectively such that PQ ∥ BC. If AP = 4 cm, PB = 6 cm and PQ = 3 cm, determine BC.

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$\red⚝$In △ABC, PQ∥BC

So, by proportionality theorem

$\frac{ AP }{ PB } = \frac{ AQ }{ QC } = \frac{ PQ}{ BC }$

$\frac{4}{6} = \frac{ AQ}{QC} = \frac{3}{ BC}$

$⇒ \frac{4}{6} = \frac{3}{ BC}$

$∴ BC=4.5cm$

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Answer 2

Answer:

In △ABC, PQ ∥ BC.

AP/BP = AQ/QC = PQ/BC.

4/6 = AQ/QC = 3/BC.

4/6 = 3/BC.

BC = 4.5cm.

[tex]BC = 4.5cm.[tex]

thanks