Single correct option
Two similar triangles have corresponding sides in the ratio 3:5. If the area of the smaller triangle is 27 sq cm, find the area of the larger triangle.
- A. 45 sq cm
- B. 60 sq cm
- C. 75 sq cm
- D. 81 sq cm
Show answer and solution
Answer: (C) 75 sq cm
For similar triangles, the ratio of areas equals the square of the ratio of corresponding sides. Area of larger / Area of smaller = (5/3)² = 25/9. Area of larger = 27 × 25/9 = 75 sq cm.
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