Math, asked by shubham707, 1 year ago

5. In given figure, ST is parallel to RQ and PS =3 and SR=4 Find the ratio of the area of triangle PST

to the area of Triangle PRQ

Answers

Answered by manju72
1
please mark it as brainliest
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Answered by shakeeb101
0

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

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