Question

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

Answer 1

Answer:

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.