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MHT CET202416 May 2024Evening ShiftMathematicsProperties of TrianglesActual

In a triangle ABC , l( AB )= 23 units, l( BC )=3 units, l( CA )=4 units, then A+ C B is

Options

  1. A1
  2. B2
  3. C4
  4. D8

Correct answer

B. 2

Step-by-step solution

aligned & A+ C B = & A A + C C B B aligned = b^2+c^2-a^2 2 b c A + a^2+b^2-c^2 2 a b C c^2+a^2-b^2 2 c a B = b^2+c^2-a^2 2(2 ) + a^2+b^2-c^2 2(2 ) c^2+a^2-b^2 2(2 ) aligned & = 2 b^2 c^2+a^2-b^2 & = 2(4)^2 ( 23 )^2+(3)^2-(4)^2 & = 32 16 & =2 aligned

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