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Triangle A is similar to triangle B with corresponding sides in the ratio 3 : 4, and triangle B is similar to triangle C with corresponding sides in the ratio 4 : 7.
Find area(A) : area(C).

Class 10Areas of Similar TrianglesGeometry — Similarity
  • A9 : 49
  • B3 : 7
  • C16 : 49
  • D27 : 343

Step-by-Step Solution

Similarity carries along the chain, so the sides of A and C are in the ratio . Area ratio = , i.e. 9 : 49. The option 3 : 7 is the side ratio left unsquared, 16 : 49 squares the B : C ratio instead of A : C, and 27 : 343 cubes it.
Answer: A) 9 : 49

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