Question

The points $(3,0),(6,4)$ and $(-1,3)$ are vertices of a right-angled triangle. Show that it is an isosceles triangle.

• A. True
• B. False

Answer 1

The correct option is A True

Given,

$A(3,0),B(6,4),C(-1,3)$

$AC=\sqrt{(-1-3{)}^2+(3-0{)}^2}=5$

$AB=\sqrt{(6-3{)}^2+(4-0{)}^2}=5$

$BC=\sqrt{(-1-6{)}^2+(3-4{)}^2}=5\sqrt{2}$

Since 2 sides are equal, these points are the vertices of isosceles triangle.