Question

pq is drawn parallel to to the base bc of a triangle abc intersecting ab at p and ac at q . if ab =4ap cq = 12cm then find the length of aq

Answer 1

Answer:

A line PQ is drawn parallel to the base BC of ΔABC which meets sides AB and AC at points P and Q respectively.

If AP=31PB; find the value of :AreaofΔAPQAreaofΔABC



Answer

Given,AP=1/3PB

So,AP/PB=1/3

In Δ APQ and Δ ABC,

As PQ || BC, corresponding angles are equal

∠APQ=∠ABC and ∠AQP=∠ACB

Hence, ΔAPQ ~ ΔABC by AA criterion for similarity

So,

Area of ΔABC/ Area of ΔAPQ=AB2/AP2=42/12=16:1

[AP/PB=1/3 so, AB/AP=4/1]

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A line PQ is drawn parallel to the base BC of ΔABC which meets sides AB and AC at points P and Q respectively.

If AP=31PB; find the value of :Areaoftrapezium