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Manipal MET2020MathematicsProperties of Triangles

In A B C , if 3 a=b+c , then value of B 2 C 2 will be

Options

  1. A1
  2. B2
  3. C3
  4. D2

Correct answer

B. 2

Step-by-step solution

Given, 3 a=b+c ( B 2 )= s(s-b) (s-a)(s-c) and ( C 2 )= s(s-c) (s-a)(s-b) aligned ( B 2 ) ( C 2 )= s(s-b) (s-a)(s-c) s(s-c) (s-a)(s-b) aligned = s (s-a) = 2 s 2 s-2 a On putting 2 s=a+b+c , we get aligned & ( B 2 ) ( C 2 )= a+b+c a+b+c-2 a & ( B 2 ) ( C 2 )= a+3 a a+3 a-2 a = 4 a 2 a =2 aligned

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