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AP EAMCET2003MathematicsProperties of Triangles

In a A B C , if 3 a=b+c , then B 2 C 2 is equal to :

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

B. 2

Step-by-step solution

We have C 2 B 2 = s(s-c) (s-a)(s-b) s(s-b) (s-a)(s-c) = s s-a = 2 s 2 s-2 a = a+b+c a+b+c-2 a = a+3 a 3 a-a = 4 a 2 a =2 [ b+c=3 a]

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