Question

In the given fugure a line segment PQ is drawn parallel to base BC of triangle ABC .If PQ:BC=1:3​

Answer 1

Answer:

4/1]

Step-by-step explanation:

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=AB

2

/AP

2

=42/12=16:1

[AP/PB=1/3 so, AB/AP=4/1]

Answer 2

Answer:

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