SOLUTION: I need examples of proofs and how to solve them. I also need help in solving paragraph proofs with trinagles whether they are isoceles, equilateral, or both. Please reply as soon

Question 523833: I need examples of proofs and how to solve them. I also need help in solving paragraph proofs with trinagles whether they are isoceles, equilateral, or both. Please reply as soon as possible. Thank You
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Here are some for you to try on your own:

1 (easy). In triangle ABC, the altitude from A onto BC bisects BC. Show that triangle ABC is isosceles.

2 (medium). Prove that the incenter and circumcenter of a triangle are the same point if and only if the triangle is equilateral.

3 (hard). Prove that for any triangle, the circumcenter, orthocenter, and centroid all lie on a line.

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