Answer:
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 [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is given by:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 }[/tex]
Given a triangle with vertices A(-1,-4), B(2,-4) and C(2,-1). The sides of the triangle is given by:
[tex]AB=\sqrt{(2-(-1))^2+(-4-(-4))^2}=3\\\\ AC=\sqrt{(2-(-1))^2+(-1-(-4))^2}=\sqrt{18}=3\sqrt{2} \\\\BC=\sqrt{(2-2)^2+(-1-(-4))^2}=3[/tex]
Since AB = BC, we can say that the triangle is an isosceles triangle.
