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AP EAMCET202421 May 2024Evening ShiftMathematicsProperties of TrianglesActual

In A B C , if a=13, b=14 and C 2 = 3 13 , then 2 r₁=

Options

  1. A2 s
  2. Bs
  3. C2

Correct answer

C. 2

Step-by-step solution

aligned & a=13, b=14, C 2 = 3 13 & s= a+b+c 2 s= 27+c 2 aligned aligned & C 2 = 3 3 s(s-c) a b = 3 3 & s(s-c)=126 ( 27+c 2 ) ( 27-c 2 )=126 & 729-c^2=504 c=15 and s=21 aligned aligned & A 2 = s(s-a) b c = 21 8 14 15 & B 2 = s(s-b) a c = 21 7 13 15 & 2 r₁= 2 a B 2 C 2 A 2 = 2 13 21 7 13 15 3 13 21 8 14 15 =21=s aligned

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