Let’s try something new. I’m going to split this into two parts, because 1) It’s 11:43 PM right now and I want to sleep, and 2) It’s a problem 12, so it’s probably going to be difficult. We’ll see.

**Table of Contents:**

Part 1

Part 2

**Problem:**

In isosceles triangle , is located at the origin and is located at (20,0). Point is in the first quadrant with and angle . If triangle is rotated counterclockwise about point until the image of lies on the positive -axis, the area of the region common to the original and the rotated triangle is in the form , where are integers. Find .

**My Attempt:**

I tried finding a lot of areas and side lengths, and ended up with one big glop. I’ll try anew tomorrow.

And the time is .

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