Final Write-Up

by: BJ Jackson

This write-up explores aspects of a triangle with a random point p on the interior of the triangle. This write-up has three parts. The first looks at the how the products of the parts of the sides are related. The second is a proof of the exploration done in part A. The third explores the ratios of the two triangles. The write-up is based on the following picture.

Click on the following links for the discussions of the different parts.


Part A: Exploring the products: (AF)(BD)(CE) and (AE)(BF)(CD).

Part B: Proof of the conjecture that made in Part A.

Part C: The ratio of triangle ABC to triangle DEF.

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