In the following examples, can the segment joining the given points form atriangle? If triangle is formed, state the type of the triangle considering sides ofthe triangle.

(1) L(6,4), M(-5,-3) , N(-6,8)

(2) P(-2,-6), Q(-4,-2), R(-5,0)

(3)

According to the distance formula, the distance 'd' between two points (a,b) and (c,d) is given by
.....(1)

1. LM = =

MN = =

NL = =

As sum of any two sides are greater than the third side,

The following points form a scalene triangle.

2. PQ = =

QR = =

RP = =

As PQ + QR < RP

The following points donot form a triangle.

3. AB = = 4

BC = = = 4

AC = = 4

As AB = BC = AC

The following points form an equilateral triangle.