NeoPets Riddles (Lenny Conundrums) and Answers Here

I don't see how parallel lines would go against my argument, I used parallel ones...

This is a very uneducated guess, but, if it's a perfect square & the red line is 16, then wouldnt you x's 16 by 3 to get 48????

but if a blue line that is 24 cm is that long, 48 cm would be twice as long, so if you just use logic it wouldn't be possible.



I measured it with a ruler: it is not to scale!!!

the blue line measures to 4 cm, or 4:24 = 1:4 scale
Red line measures to 2 1/3 cm, while for it to be 16 cm long and a scale of 1:4, it should be 2 2/3 cm. Therefore pixel counting doesn't work either!

Huh?? I seriously have no idea what you guys mean... scince when has MATHS been featured in neopets?!?!??!?!?

16+8=24 which is the same length as the blue line, but the blue line is shorter than the radius....
i used pythag.
I drew a line from the top blue line at the circle down to the tip of the square (also where the red line meets the square.) I think that gives an equilateral.
your pythag equation is therefore 24 squared=2*asquared (since a and b are equal). the hypothenuse is therefore 16.97 and also the length of the side of the square.
you then need to do this again within the square. draw a horizontal line from wach corner of the square to get 2 equalateral triangles.
this time
16.97 squared + 16.97 squared = the square root of the hypotenuse
=23.99999
add that to the red line times 2 to get 23.99999+16+16= 55.99999
devide by two to get the radius=27.9999 or 28cm.
what do u think?

Ok here are my thoughts.

If you contact the corner of the square with the red line straight up (or down) to the blue line - you create a right angle triangle.
I believe that the a and b of that triangle are 16 cm long (this is the line you just drew and the distance from that line along blue line to the other corner of the square), leaving c to be the length of the side of the square.

Using the basic right angle triangle equation of a squared plus b squared = c squared; we get c to be 22.65 cm - the length of the side of the square. Tasking half of this number will give you the distance to the middle of the square from the edge of the square - so 11.3cm add that to the 16 cm of the red line and you get a radius of 27.32. Roung down = 27.

Does this make sense?

Herminny, that looks correct from where i am sitting!
Its too late for em to work out the math, but the logic behind that fits perfectly, and if everything is worked out correctly then that should give the right answer.


Although its been over a year since i study math at that level, so i could be wrong *lol*

Herminny you thought a lot about it, but If you look at the picture carefully, you'll see that the blue line doesn't end Directly above the corner, so when you extend the line down, the angle is not 90 degrees, and pythagorus only works for 90 degree angles.


In reply to the statement that the red line is slightly longer, because we now know the drawing is not to scale, for all we know it could be like this one, and the length would be double the blue... It is an overexaggeration.



I think our best guess here now is to have someone with great artistic skills draw the diagram TO SCALE and measure it with a ruler.

i meant Klo, not herminny sorry.

Well klo, if you draw such a line, you can also draw the exact same lines OUTSIDE parallel to the ones you drew inside to make a small square. Then, if you look, one of the sides of the triangle outside is the difference in lengths of the blue and red line, which is 8.........

If you refine your calculations and use 8 instead of 16, you get 24.... Which was my suggestion...

And half of the length of the square has nothing to do with the radius at all. You need to get half of the diagonal of the square.

The unsupportable problem with my theory is that I believe the length of a and b to be 16, because I think that they are the same length as the red line but I have no supporting proof of this.

klo read my post on the last page



Is it possible that this is not about math at all?

However... There have been plenty of math questions before...

about the angles... I just wanted to add, that the angles the blue and red lines are drawn towards the top/bottom line of the square has to be 45° otherwise they could not be parallel (and the blue lines be of equal length). I hope you get, what I wanted to say, I'm not good at writing this in english at this time of the night...

Jonathon, you are correct in that half the side length isn't the number we need, it is half the diagonal.
I still don't think we have the right number for the length of a and b, though.

Well kenshin, because the lines were not drawn to the correct scale, and it didn't specify the angles, there a small (I say small because TNT don't usually do such things... but you never know) small possiblity that the angles are not drawn to scale either. You can draw parallel lines that meet at a corner of the square. Because the line was not extended to go out the other side of the square, you never know. The red line may not go through the middle of the circle either.

that was using logic, but I personally agree with kenshin that the angles are 45 degrees.

kenshin, yes the other angles by definition would be 45 degrees, as the sides are equal in lenght and the other angle is 90 degrees.

No, they HAVE to be 45° or the two blue lines could not be of equal lenght.

I just tried to construct the scenario under the assumption that the... I don't know the word, the line diagonally going through the square... is the same length as the blue line. The resulting red line matched 16. Since I draw in 1:10 there might be a big mistake in it, but it worked out, so I guess I'll go with 28...

Hmm... But I just constructed a square TO SCALE, and it works out to be 24. I can tell you how to draw it, and u'll see.

Get a full letter paper
Get a compass - make a radius 6 circle (diameter 12)
at a point, draw a radius. Put a point 2cm from the CENTER OF THE CIRCLE
at the very edge of the circle, where the radius you drew, draw a tangent line perpendicular to the radius.
From the center of the circle, extend a 2cm line perpendicular to the radius you drew.
Draw a line perpendicular to the tangent down to that point.
Connect the 2 points 2 cm away from the center.

You start seeing something?

the lines are 4:6, or 8:12, or 16:24. Thus, the radius is 6 in the drawing, but 24 when scaled up.

i don't get your post...

just draw it and see.

perpendicular means 90 degree angle.

I believe I am detailed enough...

What don't you get?