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Question

If the vertices of a triangle are (2,0),(2,3) and (1,3), then the triangle is
  1. right angled
  2. equilateral
  3. isosceles
  4. scalene


Solution

The correct option is D scalene
Let A=(2,0), B=(2,3) and C=(1,3)
Now, 
AB=(4)2+(3)2=5BC=(1)2+(6)2=37AC=(3)2+(3)2=32

As ABBCAC and BC2AB2+AC2, so the triangle is scalene.

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