Ah, the Pythagorean Theorem. Pythagoras’ masterpiece. All his other theorems pale in comparison to this one.
|Basic Geometry||Pythagorean Theorem|
But now Peter's got a gut, he's losing his hair, and has some unsightly bags growing
under his eyes. Worst of all, his shadow has left him again...
And Wendy's real big on her man having a shadow that behaves.
So Peter has decided he's going to force his shadow to get in line.
The only question is, how long should it be? Michael and John have been introducing Peter
to a little pre-algebra...
...so Peter figures he can use Pythagorean Theorem to help him.
He knows that Wendy wants the tippy-top of Peter's head to be exactly 10 feet away from
the top of his shadow's head at all times.
Yeah, she's got some pretty unusual demands, but he fell in love with the whole person...
Well, Peter is now 6 feet tall himself...
And he has learned that the Pythagorean Theorem says that "a" squared plus "b" squared equals
"c" squared. It only works for right triangles...
...However, fortunately for Peter, he and his shadow form a perfect right angle.
His own height squared is 36, while the desired distance from the head of his shadow squared
is 100. So Peter needs his shadow to be a number that,
when squared, makes up the difference.
That difference is 64...
... the square root of which is 8. Peter is a lost boy no longer!
He now knows that his shadow needs to be exactly 8 feet long.
We don't think it will be giving Peter any more problems.
And Wendy seems much happier these days. Now if only they can solve their pest problem.