Back in May, there was a story about a couple of high schoolers who - mostly for fun - put their heads together to mathematically prove the Pythagorean Theorem - something that mathematicians had to that point, had been unable to do.
Their solution involved trigonometry, and at the time they wanted to see what else they could come up. Well, what they came up with were 9 MORE solutions to the problem!
They used their innate curiosity and ... Critical thinking for the win!