Q. 14 E5.0( 1 Vote )

# Determine the type (isosceles, right angled, right angled isosceles, equilateral, scalene) of the following triangles whose vertices are:

(1, 2), (3, 0), (- 1, 0)

Answer :

Given points are A(1, 2), B(3, 0) and C(- 1, 0).

Let us find the distance between sides AB, BC and CA.

We know that the distance between the points (x_{1}, y_{1}) and (x_{2}, y_{2}) is .

⇒

⇒

⇒

⇒

⇒ AB = 4

⇒

⇒

⇒

⇒

⇒

⇒

⇒

⇒

⇒ CA = 4

We got AB = BC = CA

∴ The given points form an equilateral triangle.

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