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AP EAMCET202419 May 2024Evening ShiftMathematicsProperties of TrianglesActual

In a triangle ABC . if r₁=2 r₂=3 r₃ , then A : B : C =

Options

  1. A5: 4: 2
  2. B3: 4: 2
  3. C6: 3: 2
  4. D5: 4: 3

Correct answer

D. 5: 4: 3

Step-by-step solution

Given, in A B C, r₁=2 r₂=3 r₃ aligned & s-a = 2 s-b = 3 s-c = 1 K (Let) & 1 s-a = 2 s-b = 3 s-c = 1 K & s-a=K, s-b=2 K, s-c=3 K & and, s-a+s-b+s-c=6 K s=6 K aligned So, 6 K-a=K a=5 K, 6 K-b=2 K b=4 K6 K-c=3 K c=3 K Since, A: B: C= 2 c a : 2 a c : 2 a b =5: 4: 3 .

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