Question

Show that the following points form an isosceles triangle.

(2, 3), (5, 7) and (1, 4)

Answer 1

I hope you know the distance formula, that is :-
Distance = $\sqrt{( x_{2} - x_{2} ) + ( y_{1} - y_{2} )}$ ..............(1)
Let A= (2,3)
Let B= (5,7)
Let C= (1,4)
By using the formula (1) :-
AB = 5
BC = 5
AC = $\sqrt{2}$

Since AB = BC, Triangle ABC is an isosceles Triangle with base AC. 
All the Best !      :-) 

Answer 2

by using distance formula we can get the answer first calculate AB and BC then if they r equal they it is isocles triangle