it is given that triangle abc similar triangle pqr with bc/qr=1/3. find the ratio of ar(PRQ)/ar(BCA).
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Hello,
Here is your answer,
Given BC/QR = 1/3
We know the ratio of areas of similar triangles is equal to the square of the ratio of their corresponding sides.
Thus ar(∆ABC)/ar(∆PQR) = (BC/QR)²
=> ar(∆ABC)/ar(∆PQR) = (1/3)²
=> ar(∆ABC)/ar(∆PQR) = (1/9)
Hope this helps
Here is your answer,
Given BC/QR = 1/3
We know the ratio of areas of similar triangles is equal to the square of the ratio of their corresponding sides.
Thus ar(∆ABC)/ar(∆PQR) = (BC/QR)²
=> ar(∆ABC)/ar(∆PQR) = (1/3)²
=> ar(∆ABC)/ar(∆PQR) = (1/9)
Hope this helps
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