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AP EAMCET202422 May 2024Morning ShiftMathematicsProperties of TrianglesActual

In A B C , if b+c: c+a: a+b=7: 8: 9 , then the smallest angle (in radians) of that triangle is

Options

  1. A⁻¹ ( 4 5 )
  2. B3
  3. C⁻¹ ( 3 5 )
  4. D4

Correct answer

A. ⁻¹ ( 4 5 )

Step-by-step solution

aligned & b+c=7 k, c+a=8 k, a+b=9 k & 2(a+b+c)=24 k a+b+c=12 k & a=5 k ; b=4 k, c=3 k & Smallest angle =C & C= a^2+b^2-c^2 2 a b = 25+16-9 2 5 4 = 32 40 = 4 5 & C= ⁻¹ ( 4 5 )= Smallest angle. aligned

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