@IMStuck :)
hello, dear!
Aloha!! :DD
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.
|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 \(\Large\rm 2\sqrt2\)
You can kind of tell by the picture as well, the diagonal ones look longer, at least to me.
@Cosmichaotic @IMStuck
Woops I didn't go my @ correctly on his name :) lol
IMStuck is a her* .. oh, no worries.. so you didn't get b? :(
No, it should be option C. :c
@Cosmichaotic -may you check this , please!?
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.
So it's between C or D
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"..
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.
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
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
Ah, see - it is C! :D
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
Yep, you got it.
Ah, at last, the confirmation is clear ! :)
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.
Lol
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