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AP EAMCET2008MathematicsProperties of Triangles

In A B C , if 1 b+c + 1 c+a = 3 a+b+c , then C is equal to

Options

  1. A90^
  2. B60^
  3. C45^
  4. D30^

Correct answer

B. 60^

Step-by-step solution

Given that, array ll & 1 b+c + 1 c+a = 3 a+b+c & 1+ b a+c +1+ a b+c =3 & b(b+c)+a(a+c)=(a+c)(b+c) & b^2+b c+a^2+a c=a b+a c+b c+c^2 & a^2+b^2-c^2=a b Ne know that, C= a^2+b^2-c^2 2 a b = a b 2 a b = 1 2 & C=60^ array

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