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MHT CET202523 Apr 2025Evening ShiftMathematicsProperties of TrianglesActual

In a triangle ABC with usual notations if b C(b C+c B)=42 , then area of triangle A B C=

Options

  1. A42 sq.units
  2. B21 sq.units
  3. C24 sq.units
  4. D12 sq.units

Correct answer

B. 21 sq.units

Step-by-step solution

The expression b C(b C + c B) = 42 can be rewritten using the projection rule a = b C + c B , yielding ab C = 42 . The area of the triangle is given by = 1 2 ab C , so substituting yields = 1 2 42 = 21 . The area is therefore 21 square units .

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