Question

n given figure , ST || RQ, PS = 3 cm and SR = 4 cn given figure , ST || RQ, PS = 3 cm and SR = 4 cm. Find the ratio of the area of Triangle PST t o the area of Triangle PRQ.m. Find the ratio of the area of triangle PST t o the area of triangle PRQ

Answer 1

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Answer 2

Answer:

9:49

Step-by-step explanation:

Given

ST || RQ

PS= 3 cm

SR = 4cm

Proof :--

ar(∆PST) /ar(∆PRQ) = (PS)²/(PR)²

ar(∆PST) /ar(∆PRQ) = 3²/(PS+SR)²

ar(∆PST) /ar(∆PRQ) = 9/(3+4)²= 9/7² = 9/49

Hence, the required ratio ar(∆PST) :ar(∆PRQ) = 9:49