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:
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 .
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 .