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MHT CET202013 Oct 2020Evening ShiftMathematicsProperties of TrianglesActual

With usual notations, if in ABC , 8 is semi perimeter and ( s -a)( s - b )= s ( s - c ) , then A B C is

Options

  1. Aan equilateral triangle
  2. Ban obtuse angle triangle
  3. Ca right angled triangle
  4. Dan acute angle triangle

Correct answer

C. a right angled triangle

Step-by-step solution

We have array l C 2 = (s-a)(s-b) a b ² C 2 = (s-a)(s-b) a b and C 2 = s(s-c) a b ² C 2 = s(s-c) a b Given (s-a)(s-b)=s(s-c) a b ² C 2 =a b ² C 2 array ² C 2 =1 C 2 =1 C 2 =45^ C=90^ ABC is a right angled triangle

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