Question

How do I use the distance formula to determine whether two triangles are congruent

Answer 1

You find the distance of all sides to both triangle then match up the sides and see if they are similar

Answer 2

Given two triangles on a coordinate plane, you can check whether they are congruent by using the distance formula to find the lengths of their sides. If three pairs of sides are congruent, then the triangles are congruent vy the above theorem.