Question

Show that the following points form an isosceles triangle.

(1, 3), ( - 3, - 5) and ( - 3, 0)

Answer 1

Find the distance between the points and if two sides are of same length then it is an isosceles triangle

Answer 2

Let us consider the points as A(1,3) ; B(-3,-5) : C(-3,0)
The distance b/w AB = √(-3-1)²+(-5-3)² = √16+64 = √80
The distance b/w BC = √(-3+3)²+(0+5)² = 5 
The distance b/w CA = √(-3-1)²+(0-3)² = √16+9 = 5 
As the two sides are equal BC = CA .
We can say the given points forms an isosceles triangle.
Hence proved.