nerdiest

EP's back! 

hi, I came here when you were still inactive, but you are legendary, right?

yup!

maybe

very neat solution BB!

ya, like this Newboi guy or whatever. he kept posting inappropiate stuff

hmmmmm

that was a copied answer from wiseowl

a wise owl told me once

In order for the area of triangle XYD to be at most 12, the height of triangle XYD is at most 2.  The height of triangle XYD can be 6, so the probability is 2/6 = 1/3.

WISEOWL's answer, which was voted as a 'best answer'

LOL

I saw you doing your answer, and I was like, I gotta beat BuilderBoi

There’s probably more than one way to solve this. Here’s how I would go about it.

From the intersecting chords theorem, you know that CPxDP = 4x10. You also know that CP+DP=13 (=CD). You now have two equations involving CP and DP.

Combining the two equations gives you a quadratic expression which when solved gives you CP= 5 and DP=8.

The distance from the midpoint of CD to P can be found to be 1.5.

The distance from the midpoint of AB to P can be found to be 3.0.

The distance of P to the center of the circle is the same as the diagonal of a rectangle of sides 1.5 and 3.0 which can be evaluated from the Pythagorean theorem (approximately 3.354).

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