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Question
In the given figure, PQ || AC. If BP = 4 cm, AP = 2.4 cm and BQ = 5 cm, then length of BC is ______.
Options
8 cm
3 cm
0.3 cm
`25/3` cm
Solution
In the given figure, PQ || AC. If BP = 4 cm, AP = 2.4 cm and BQ = 5 cm, then length of BC is 8 cm.
Explanation:
As PQ || AC by using basic proportionality theorem
`\implies (BP)/(PA) = (BQ)/(QC)`
`\implies 4/2.4 = 5/(QC)`
`\implies` QC = `(5 xx 2.4)/4` = 5 × 0.6
`\implies` QC = 3 cm
∴ BC = BQ + QC
= 5 + 3
= 8 cm
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