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

Algebra ->  Geometry-proofs -> 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       Log On


   

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) About Me  (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.