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Question

The triangle formed by the points A(2, 0), B(1, 3) and C(-1, -1) is a/an  triangle.
  1. equilateral
  2. isosceles
  3. scalene


Solution

The correct option is B isosceles

Distance from A to B

AB=(12)2+(30)2
=(1)2+(3)2
=1+9
=10  units

Distance from B to C

BC=(11)2+(13)2
=(2)2+(4)2
=4+16
=20 units

Distance from C to A

CA=(2(1))2+(0(1))2
=(2+1)2+(0+1)2
=(3)2+(1)2
=9+1
=10 units

Since, the length of two sides (AB and CA) of the triangle ABC are equal, the given points form an isosceles triangle.

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