Question

A triangle with vertices $(0,0),(4,3),and(3,4)$ belongs to which of the following classes
I - Scalene Triangles
II - Isosceles Triangles
III - Right Triangles
IV - Equilateral Triangles

• A. none
• B. I only
• C. II only
• D. IV only
• E. III only

Answer 1

The correct option is C II only

Given vertices of triangle A(0,0) B(4,3)C(3,4)

$AB=\sqrt{4^2+3^2}=5BC=\sqrt{1^2+1^2}=\sqrt{2}AC=\sqrt{25}=5$

As the two sides are equal it is Isosceles triangle