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Mathematics 22 Online
OpenStudy (anonymous):

@IMStuck :)

OpenStudy (imstuck):

hello, dear!

OpenStudy (anonymous):

Aloha!! :DD

OpenStudy (imstuck):

It's B, all the sides have the length of 2 units. Even though the diagonal ones look longer, they are not. They are 2 units, too, even though they go through the squares on the grid at a slant instead of straight across on the lines.

zepdrix (zepdrix):

|dw:1404597864920:dw|@IMStuck @lilia222 Woops! :( No, the diagonals are `not` of length 2. If I form a right triangle like this, performing the Pythagorean Theorem shows us that the diagonal length is \(\Large\rm 2\sqrt2\)

zepdrix (zepdrix):

You can kind of tell by the picture as well, the diagonal ones look longer, at least to me.

OpenStudy (anonymous):

@Cosmichaotic @IMStuck

zepdrix (zepdrix):

Woops I didn't go my @ correctly on his name :) lol

OpenStudy (anonymous):

IMStuck is a her* .. oh, no worries.. so you didn't get b? :(

zepdrix (zepdrix):

No, it should be option C. :c

OpenStudy (anonymous):

@Cosmichaotic -may you check this , please!?

OpenStudy (anonymous):

A regular polygon is defined as have equivalent lengths of sides in all respects. It looks like some are 2 and some are a little longer. This isn't a regular polygon.

OpenStudy (anonymous):

So it's between C or D

OpenStudy (anonymous):

Yeah, if they are longer, it can't be b! Well the choices were down to "B" and "C"... Now that you've confirmed I can eliminate "B", then it must be "C"..

OpenStudy (anonymous):

We can figure out if the longer lengths are 4 units long or 2sqrt(2) by using the Pythagorean Theorem as @zepdrix has shown in his triangle above.

OpenStudy (anonymous):

The chice cannot be A or B because this is not a regular polygon and A and B both state that it is right? So it's between C and D

OpenStudy (anonymous):

if you see that 2^2 + 2^2 = c^2 or 8 = c^2 then Take the sqrt of both sides to get c = sqrt(8) or 2sqrt(2), C

OpenStudy (anonymous):

Ah, see - it is C! :D

OpenStudy (anonymous):

That's using a^2 + b^2 = c^2 - The Pathagorean Theorem that @zepdrix drew above by making a triangle by making the longer line the hypotenuse. I hope this is making sense... we need like Skype or something.. haha

OpenStudy (anonymous):

Yep, you got it.

OpenStudy (anonymous):

Ah, at last, the confirmation is clear ! :)

OpenStudy (anonymous):

Most important things to have learned here 1. Regular polygons have all equal line lengths making them. 2. Any line with a slope can be used to make a triangle of which the longest line is the hypotenuse. 2a. By which we use the length of x and the length of y as our two lengths of the legs and the hypotenuse can then be figured by using the Pythagorean theorem.

OpenStudy (anonymous):

Lol

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