Points a(7,-5),b(-1-2), and c(-4,6) form triangle abc on a coordinate plane. according to its sides, trinagle abc is an triangle

Isosceles triangle

Step-by-step explanation:

An isosceles triangle is a triangle with two sides being equal in size.

The length or magnitude between two points is calculated by the formula;  

√((x₂ − x₁)² + (y₂ − y₁)²)

Therefore;

Length AB=Sqrt( (3)² + (-8)²)

                 = Sqrt 73

                 = 8.544 units

Length BC = Sqrt ((8²) + (-3)²)

                  = Sqrt 73

                  = 8.544 units

Length AC = Sqrt ((11²) + (-11)²)

                  = Sqrt 242

                  = 15.524 units

Therefore, AB and BC are equal , which means triangle ABC is an isosceles triangle.