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MHT CET202210 Aug 2022Evening ShiftMathematicsProperties of TrianglesActual

In a triangle A B C , with usual notations, if b+c 11 = c+a 12 = a+b 13 , then A: B: C=

Options

  1. A11:12:13
  2. B25:19:7
  3. C7:19:25
  4. D19: 7: 25

Correct answer

C. 7:19:25

Step-by-step solution

aligned & b+c 11 = c+a 12 = a+b 13 =k( say ) & a+b+c=18 k & a=7 k, b=6 k, c=5 k aligned Using cosine rule aligned & A= 1 5 , B= 19 35 , C= 5 7 & A: B: C= 1 5 : 19 35 : 5 7 =7: 19: 25 aligned

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