### Math

Last week we had a little fun with the Pythagorean Theorem.

If you have a right triangle and you know the length of 2 of the sides you can figure out the length of the remaining side by using the Pythagorean Theorem.

**a^2 + b^2 = c^2** (where c is the hypotenuse – the side across from the right angle)

Everyone got it right…**the answer was 5**. (if you’d like to see the work check out stevegg’s comments here.)

I am going to up the ante just a little…I think a few of you (still unreal…I’m looking in your direction) think this is too easy so here is one that is a bit harder, still not calculus (because I don’t think you’re ready yet) but more challenging.

**Compute the area of the following:**

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196! I see you were trying to be tricky…

lol, I doubt that’s what you want, but it could almost work.

No trick…and wrong answer…Sorry justin.

Whoops! For my joke, I meant 784! lol…

I didn’t realize this blog was for MENSA members.

Guess my public high school education and Gateway Technical College degree isn’t enough to figure this trig. out. Algebra is about all I can handle.

Before I answer, a question – is this a regular decagon (for those that don’t know what I’m talking about, a regular decagon has 10 sides, all of the same length, with every interior angle the same)? The figure is a bit less than forthcoming on that vital piece of information.

Very good question…yes it is a regular decagon.

Wondering if anyone was going to ask that?!!

umm…i dunno, but i’m thinking…..roughly twice Justin’s 2nd answer?

Justin’s 2nd answer is wrong too…and doubling it would make it really wrong!!

Hey, man, i said “

!”roughly4 could be considered “roughly”……right?

Should I give a hint? (here’s a freebie; that labeled length is perpendicular to the side of the decagon).

thats no hint, steve.

give us half or….a third (if you want to make it tricky) the area….now

that’dbe a hint.like school, i dont want to work through secants and square roots and stuff.

…turned out they didn’t like thy didnt like that either.

What a whiner! ;^)

You are a proficient user of the internet…you have been given 3 important words…I’m thinking you should be done by now!

No square roots, and no secants, though you do need some trigonometry. The interior angle of a regular decagon is 144 degrees (so you won’t to need to find the formula for the area of a regular polygon of

nsides and an apothem of lengthAlike I did).If I give any more, I will be literally giving away the answer.