Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (-1, 7) is an isosceles triangle. Use evidence to support your claim. If it is not an isosceles triangle, what changes can be made to make it isosceles? Be specific.

Question

tkhunny · Answer

Can you calculate the distance between each of the three points?

anonymous · Answer

Well yeah I can do that, but how can you classify a triangle a Isosceles triangle?

tkhunny · Answer

Why don't you do it and see if anything jumps out at you.  What the definition of an isosceles triangle?

anonymous · Answer

$$
AB=\sqrt{13}\
AC=\sqrt{26}\
BC=\sqrt{13}



$$
Which two sides are equal?
Can you conclude the this triangle is isosceles ?

tkhunny · Answer

Are there TWO equal sides?  You're done.  It's isosceles.