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AP EAMCET202021 Sep 2020Morning ShiftMathematicsStraight LinesActual

If (r= ) in radius, ( = ) Area of ( A B C, s= ) semi-perimeter then which of the following is true?

Options

  1. A( =r+s )
  2. B( = r S )
  3. C( =(r ~s )^2 )
  4. D( =r ) s

Correct answer

D. ( =r ) s

Step-by-step solution

Let the length of sides are (a, b ) and (c ), so (s= a+b+c 2 ) Now, from the diagram area of triangle (A B C ) is ( aligned & = I B C+ I C A+ I A B & = 1 2 a r+ 1 2 b r+ 1 2 c r & =r ( a+b+c 2 )=r aligned ) Hence, option (d) is correct.

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