CBSE Class 10-Mathematics: Chapter – 6 Triangles Part 18
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Question 2:
Prove that the ratio of areas of two similar triangles are in the ratio of the squares of the corresponding sides. By using the above theorem solve in two similar triangles PQR and LMN, and . Find the ratio of areas of two triangles.

Areas of Two Similar Triangles
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Answer:
Given: Two triangles ABC and DEF
Such that
To Prove:
Construction: Draw
Proof:
Again, in we have
Further,
From (ii) and (iii),
Putting in (i), we get
Hence, required ratio is 9:4.