Is triangle TVS scalene, isosceles, or equilateral? The vertices are T(1, 1), V(9, 2), and S(5, 8).

Question

anonymous · Answer

Measure the distance between the points and you will be able to make this determination.

Are you familiar with the distance formula?

anonymous · Answer

Not really.

anonymous · Answer

$$d = \sqrt{(x _{2} - x _{1})^{2} + (y _{2} - y _{1})^{2}}$$

anonymous · Answer

Oh, so I just plug in the numbers where they go?

anonymous · Answer

Yeah.  Measure the distance from T to V.  Then measure the distance from V to S.  Finally, measure the distance from S to T.

If you get three different distances, for example, you would say Scalene.

anonymous · Answer

Because each distance corresponds to the measure of one side of the triangle.