Question

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

• A. scalene
• B. equilateral
• C. isosceles
• D. Right triangle

Answer 1

The correct option is A scalene

Consider give the vertex of a triangle are $(-2,0),(2,3)$ and $(1,-3)$.

Let, a triangle ABC, which have vertex $A(-2,0),B(2,3)$ and $C(1,-3)$.

Now, sides of triangle AB,BC and CA are,

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

$BC=\sqrt{{(1-2)}^2+{(-3-3)}^2}=\sqrt{37}unit$

And $CA=\sqrt{{(1+2)}^2+{(-3-0)}^2}=3\sqrt{2}unit$

Hence, $AB\ne BC\ne CA$

So, required triangle is scalene triangle.

Hence,this is the answer,