Question

If the vertices of a triangle are $(-2,0),(2,3)$ and $(1,-3)$, then the triangle is

• A. equilateral
• B. right angled
• C. isosceles
• D. scalene

Answer 1

The correct option is D scalene

Let $A=(-2,0),B=(2,3)$ and $C=(1,-3)$
Now,
$AB=\sqrt{(-4{)}^2+(-3{)}^2}=5BC=\sqrt{(1{)}^2+(6{)}^2}=\sqrt{37}AC=\sqrt{(-3{)}^2+(3{)}^2}=3\sqrt{2}$

As $AB\ne BC\ne AC$ and $B{C}^2\ne A{B}^2+A{C}^2$, so the triangle is scalene.