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.