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AP EAMCET2007MathematicsProperties of Triangles

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

Options

  1. A2 c C 2
  2. B2 a A 2
  3. C2 b B 2
  4. DC 2

Correct answer

A. 2 c C 2

Step-by-step solution

We have, (a+b+c) ( A 2 + B 2 ) aligned & =2 s ( A 2 + B 2 ) & =2 (s A 2 +s B 2 ) & =2 ( s-a + s-b ) & =2 ( s-b+s-a (s-a)(s-b) ) & =2 2 s-(a+b) (s-a)(s-b) & =2 ( c (s-a)(s-b) ) & =2 c C 2 aligned

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