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in Mathematics by (33.0k points)

Prove that the ratio of the perimeters of two similar triangles is the same as the ratio of their corresponding sides.

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Best answer

Let the two triangles be ABC and PQR. 

We have: 

∆ABC ~ ∆PQR, 

Here, 

BC = a, AC = b and AB = c PQ = r, PR = q and QR = p 

We have to prove:

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