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AP EAMCET202021 Sep 2020Evening ShiftMathematicsProperties of TrianglesActual

In a ( A B C, a=1, b= 3 ) and ( C= / 6 ). Then the measure of the third side (c= )

Options

  1. A4
  2. B3
  3. C1
  4. D2

Correct answer

C. 1

Step-by-step solution

In a ( A B C ), it is given that, (a=1, b= 3 ) and ( C= 6 ), then by cosine law, we have ( aligned 6 & = a^2+b^2-c^2 2 a b 3 2 & = 1+3-c^2 2 3 3=4-c^2 c^2=1 c & = 1 c=1 c= length of side aligned ) Hence, option (c) is correct.

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