Noah says, “I constructed two perpendicular bisectors of triangle . That means the point where they intersect is the circumcenter!” Andre responds, “No, we still need to check the third perpendicular bisector to make sure it intersects at the same point.”
Do you agree with either of them? Explain or show your reasoning.
The dotted line is the perpendicular bisector of side . The distance between points and is 7 units. What is the distance between points and ? Explain or show your reasoning.
Problem 3
Construct the circumcenter of each triangle. Then, on the basis of the locations of the circumcenters, classify each triangle as acute, right, or obtuse.