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NDA 2025 · PYQ · Trigonometry / Triangles · easy

The sides of a triangle ABC are AB = 3 cm, BC = 5 cm and CA = 7 cm. What is the area of the triangle?

Answer

The correct answer is A: 15√3/4 square cm. Area = (1/2)·AB·BC·sinB = (1/2)·3·5·sin120° = (15/2)·(√3/2) = 15√3/4 sq cm.

  1. A.15√3/4 square cm✓ Correct
  2. B.15√3/2 square cm
  3. C.15√3 square cm
  4. D.30√3 square cm

Explanation

Area = (1/2)·AB·BC·sinB = (1/2)·3·5·sin120° = (15/2)·(√3/2) = 15√3/4 sq cm.
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