Q14 of 184 Page 10

Determine the type (isosceles, right angled, right angled isosceles, equilateral, scalene) of the following triangles whose vertices are:
(1, 2), (3, 0), (- 1, 0)

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 (x₁, y₁) and (x₂, y₂) is .

⇒

⇒ AB = 4

⇒

⇒ CA = 4

We got AB = BC = CA

∴ The given points form an equilateral triangle.

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

(- 2, 5), (7, 10), (3, - 4)

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

(4, 4), (3, 5), (- 1, - 1)

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

(0, 6), (- 5, 3), (3, 1)

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

(5, - 2), (6, 4), (7, - 2)

Determine the type (isosceles, right angled, right angled isosceles, equilateral, scalene) of the following triangles whose vertices are:(1, 2), (3, 0), (- 1, 0)