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AP EAMCET2001MathematicsProperties of Triangles

In a A B C, a^2 2 C+c^2 2 A is equal to

Options

  1. A2
  2. B3
  3. C4

Correct answer

3

Step-by-step solution

aligned & a^2 2 C+c^2 2 A & =4 R^2 [ ^2 A-2 C C . aligned aligned & .+ ^2 C 2 A+ A ] & =4 R^2 2 A C[ C A+ C A] & =8 R^2 A C (A+C) aligned aligned & =8 R^2 A B C & =8 R^2 a 2 R b 2 R c 2 R & = a b c R =4 aligned

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