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AP EAMCET202422 May 2024Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

In a triangle A B C , if A, B, C are in arithmetic progression and A+ B+ C= 1+ 2 + 3 2 2 , then A=

Options

  1. A3
  2. B2+ 3
  3. C1
  4. D2- 3

Correct answer

B. 2+ 3

Step-by-step solution

Since A, B, C are in A.P. Let B=60^ aligned & C=120-A [ A+B+C=180^ ] & Now, A+ B+ C= 1+ 2 + 3 2 3 & A+ C= 1+ 2 + 3 2 3 - 2 2 & = A+ (120-A)= 1+ 3 2 2 & 2 ( A+120-A 2 ) ( A-120+A 2 )= 15^ & (A-60)= 15^ A=75^ & A= 75^ = (45^ +30^ )=2+ 3 . aligned

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