Final Assignment

Problem 1

by Debra Jackson

**1a. Prove Ceva's Theorem using ratios of AREAS.**

*If the three Cevians AD, BE, and CF are concurrent at P, then prove*

1b. Prove the converse of Ceva's Theorem:

If then the Cevians are concurrent.

We will prove this by disproving the converse which is:

1c. Use the converse of Ceva's Theorem to prove the medians of a triangle are concurrent.