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AP EAMCET2001MathematicsProperties of Triangles

In a A B C, C+ A c+a + B b is equal to

Options

  1. A1 a
  2. B1 b
  3. Cc+a b
  4. D1

Correct answer

B. 1 b

Step-by-step solution

We have, aligned & C+ A c+a = C+ A 2 R( C+ A) = & 2 C+A 2 C-A 2 2 R 2 C+A 2 C-A 2 = 1 2 R B 2 aligned Also, B b = B 2 R B = 1 2 R 1- ^2 B 2 2 B 2 aligned & C+ A c+a + B b & = 1 2 R B 2 + 1 2 R 1- ^2 B 2 2 B 2 & = 1 2 R [ 2 ^2 B 2 +1- ^2 B 2 2 B 2 ]= 1 2 R [ 1+ ^2 B 2 2 B 2 ] & = 1 2 R B = 1 b aligned

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