pls tell how to do this
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Hey there,
Here's the answer to your question:
We know that,
The ratio of the perimeters of two similar triangles is equal to the ratio of their corresponding sides.
(Fun fact: This ratio is also called as scale factor of the triangles.)
Now, ΔABC ~ ΔPQR
This means,
(Per)ΔABC/(Per)ΔPQR = 35/49 = AB/PQ = 5/7 [By theorem]
But we also know that,
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
Therefore,
(Ar)ΔABC/(Ar)ΔPQR = (AB/PQ)^2
But AB/PQ = 5/7 [Proved Above]
Therefore,
(Ar)ΔABC/(Ar)ΔPQR = (5/7)^2 = 25/49.
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Hope it helps, please mark me as brainliest, as it would be much appreciated :))
Have a great day! ;)
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