Triangles and Vertices

Question

What kind of triangle has the vertices A(0, 1), B(8, 4) and C(3, -7)?

 

(classified by sides) 

Answer 1

Look at the distance between A and B: d_AB = √(64 + 9)

Look at the distance between A and C: d_AC = √(9 + 64) = d_AB

Look at the distance between B and C: d_BC = √(25 + 11²)

 

You have 2 equal sides, and a different length for the third side.  It is an isosceles triangle.