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AP EAMCET20225 Jul 2022Evening ShiftMathematicsProperties of TrianglesActual

In a triangle, if b=5, c=6, A 2 = 1 2 , then a=

Options

  1. A41
  2. B21
  3. C14
  4. D8 6

Correct answer

A. 41

Step-by-step solution

A= 1- ^2 A 2 1+ ^2 A 2 = 1- ( 1 2 )^2 1+ ( 1 2 )^2 = 1 3 A= b^2+c^2-a^2 2 b c 1 3 = (5)^2+(6)^2-a^2 2(5)(6) aligned & 20=25+36-a^2 & a^2=41 & a= 41 aligned

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