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Question
In a triangle ABC, P and Q are points on side AB and AC respectively,such that PQ is parallel to BC.If AP=2.4 cm, AQ=2cm, QC=3cm and BC=6cm, find AB and PQ.
In a triangle ABC, P and Q are points on side AB and AC respectively,such that PQ is parallel to BC.If AP=2.4 cm, AQ=2cm, QC=3cm and BC=6cm, find AB and PQ.
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Solution
apply proportionality theorem
AP/AB= AQ/AC= PQ/BC
AQ/AC=PQ/BC
AC=AQ+QC=2+3=5
2/5=PQ/6
PQ=(2*6)/5=2.4 CMS
apply proportionality theorem
AP/AB= AQ/AC= PQ/BC
AQ/AC=PQ/BC
AC=AQ+QC=2+3=5
2/5=PQ/6
PQ=(2*6)/5=2.4 CMS
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