## 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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