in ABC, P and Q are points on sides AB and AC respectively, such that PQ||BC . If AP=2.4 cm, AQ=2cm , QC=3 cm and BC=6cm , find AB and PQ?
2026-04-30 09:15:22.1777540522
Question from triangles
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Triangle APQ and ABC are similar APQ is scaled $\frac{AQ+QC}{AQ}=2.5$ times to form ABC. Because they are similar triangles, $AB=2.5AP$ and $BC=2.5PQ$
Since AP and BC is already known, you can easily solve for AB and PQ:
$AB=2.5•2.4cm=6cm$
$PQ=\frac{6cm}{2.5}=2.4cm$