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

Question

Determine the type (isosceles, right angled, right angled isosceles, equilateral, scalene) of the following triangles whose vertices are: (- 2, 5), (7, 10), (3, - 4)

Philoid · Accepted Answer

Given points are A(- 2, 5), B(7, 10) and C(3, - 4).

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 .

⇒

We got AB = CA

Now,

⇒

⇒ AB² + CA² = 106 + 106

⇒ AB² + CA² = 212

⇒

⇒ AB² + CA² = BC²

∴ The given points form a right angles isosceles 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:
(- 2, 5), (7, 10), (3, - 4)