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AP EAMCET · Maths · Properties of Triangles

In any triangle ABCb+ccosA+c+acosB+a+bcosC equals

  1. A 0
  2. B a+b+c
  3. C a+b-c
  4. D a-b-c
Verified Solution

Answer & Solution

Correct Answer

(B) a+b+c

Step-by-step Solution

Detailed explanation

Given b+ccosA+c+acosB+a+bcosC =bcosA+ccosA+ccosB+acosB+acosC+bcosC =bcosA+acosB+ccosA+acosC+ccosB+bcosC  ...1 By projection formula, we have a=bcosC+ccosB Therefore, from 1, we have =a+b+c