Day Ten

Difficulty: easy-ish.

Problem 32:

Difficulty: Tricky. It seems easy, but then tries to kneecap you.

Standard instructions for this series: No calculator allowed. Express answers in reduced form. Rationalize denominators. Radicals must be reduced. All numbers are base ten unless otherwise specified. Do not approximate radicals or π. Leave such answers as 1025π or √39, for example. Source: UVM Math Contest

answer 10 and answer 32.

I checked 32, hoping for a better solution than mine...

ReplyDeleteLet the altitude reach AC at N and the median at M, ANMC. From M drop a perpendicular to BC....

that's as much as I am sharing.