The vertices of a triangle are A (-1,-4), B (2,-4) and C (2,-1). Use the distance formula and Pythagoras' theorem to show that triangle ABC is an isosceles right-angled triangle

Isosceles triangle

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and equilateral.

An isosceles triangle is a triangle with two equal sides and two equal angles.

The distance between two points on the coordinate plane is given by:

Given a triangle with vertices A(-1,-4), B(2,-4) and C(2,-1). The sides of the triangle is given by:

Since AB = BC, we can say that the triangle is an isosceles triangle.

linear pair postulates