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Manipal MET2017MathematicsProperties of Triangles

In triangle A B C, a (b^2+c^2 ) A+b (c^2+a^2 ) B+c (a^2+b^2 ) C is equal to

Options

  1. Aa b c
  2. B2 a b c
  3. C3 a b c
  4. D4abc

Correct answer

C. 3 a b c

Step-by-step solution

(b^2+c^2 ) a A+ (c^2+a^2 ) b B+ (a^2+b^2 ) c C=a b(b A+a B)+b c(b C+c B)+c a(a C+c A)=a b c+a b c+a b c=3 a b c

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