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Step-by-step explanation:
Ar(Apq)/ar∆abc)=ap2/Ab²
=x²/(3x²)=1/9
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ratio of are of triangles = ratio of sqaure of the sides of triangle
since Pq is parallel to BC
THEREFORE BY BPT THE OTHER 2 SIDES ARE IN EQUAL RATIOS
AND ANGLE A IS COMMON IN BOTH THE TRIANGLES
HENCE BY SAS SIMILARITY TRIANGLE APQ AND ABC ARE SIMILER HENCE
AR OF TRIANGLE APQ/ AREA OF TRIANGLE ABC = AP^2 / PB^2
= 1:4
MAYBE THIS HELPS
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