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AP EAMCET2005MathematicsProperties of Triangles

A+B=C ^2 A+ ^2 B+ ^2 C-2 A B C is equal to

Options

  1. A1
  2. B2
  3. C0
  4. D3

Correct answer

A. 1

Step-by-step solution

Given that, A+B=C aligned & Now, ^2 A+ ^2 B+ ^2 C & = 1+ 2 A 2 + 1+ 2 B 2 + ^2 C & =1+ 1 2 ( 2 A+ 2 B)+ ^2 C & =1+ 2 2 [ (A+B) (A-B)]+ ^2 C & =1+ C[ (A-B)+ (A+B)] & =1+2 C B A & ^2 A+ ^2 B+ ^2 C-2 A B C=1 aligned

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