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MHT CET202410 May 2024Evening ShiftMathematicsProperties of TrianglesActual

In a triangle ABC , with usual notations, if m A =45^ , m B =75^ , then a + c 2 has the

Options

  1. Ab
  2. Bb 2
  3. C2 b
  4. D3 b

Correct answer

C. 2 b

Step-by-step solution

Given that : m ~A =45^ , m ~B =75^ , m C =60^ we know that aligned & A a = B b = C c & 45^ a = 75^ b = 60^ c & 45^ a = (45^ +30^ ) b aligned array ll & 1 2 a = 1 2 1 2 + 1 2 3 2 b & 1 2 a = 1+ 3 2 2 b & a= 2 b 1+ 3 & 60^ c = (45^ +30^ ) b & 2 c= 2 3 b 1+ 3 & a+ 2 c= 2 b 1+ 3 + 2 3 b 1+ 3 =2 b array

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