P and Q are the points on sides AB and AC , respectively of ∆ABC .If AP=3cm ,PB=6cm,AQ=5cmand QC=10cm show that BC and 3PQ
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Step-by-step explanation:
AS IN THE FIGURE
In the triangles ABC and APQ
AP/AB =AQ/AC=3/(3+6)=5/(5+10)=1/3
Thus ΔABC and ΔAPQ are similar
Thus PQ/ BC=AP/AB=3/(3+6)=3/9=1/3
Thus BC=3PQ
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