Stick and a triangle

Originally posted by uzless
Then what didn't you understand about my previous post???

I want to know how you will go about constructing your triangle using three chicken eggs.

Depends if you are a topologist or not

Originally posted by LemonJello
I want to know how you will go about constructing your triangle using three chicken eggs.

place the two fat ends together at an acute angle. Place the 3rd egg in between the gap allowing for overlap.

next crack the eggs and place into a bowl sans shells.
Add one cup of milk.
Dab fresh bread in to the mixture and place into a fry pan.


Makes approx 4 French toast.


Enjoy!

Originally posted by uzless
place the two fat ends together at an acute angle. Place the 3rd egg in between the gap allowing for overlap.

next crack the eggs and place into a bowl sans shells.
Add one cup of milk.
Dab fresh bread in to the mixture and place into a fry pan.


Makes approx 4 French toast.


Enjoy!

I usually cut my pieces of French toast along the diagonals so that I am left with...triangles. It all makes perfect sense now.

Originally posted by doodinthemood
Congratulations people who got 25%

And well done to those who didn't; your effort is appreciated and your courage to post a wrong answer in front of millions online is respectable.

The cuts are made INDEPENDENTLY of each other, so there's no need to say you have 1-x of a stick left, as you can make the second cut on the bit you broke off.

For ...[text shortened]... side and the second cut cannot be more than half way from the opposit side.

=0.5^2

=0.25

I'm still confused, where in my reasoning did I go wrong?

If you cut a 1 metre stick at 5 cm from one end and then cut in the 5 cm bit again, you cannot make a triangle with the ends meeting.

Or am I mistaken in the given that the ends should meet?

😕

Originally posted by TheMaster37
I'm still confused, where in my reasoning did I go wrong?

If you cut a 1 metre stick at 5 cm from one end and then cut in the 5 cm bit again, you cannot make a triangle with the ends meeting.

Or am I mistaken in the given that the ends should meet?

😕

You're right about that part. Where your argument went wrong was where you said "The chance to snap the stick in the longer part is 1 - a/b. You will always be able to make a triangle in this case."

That's not true. Cut your stick 5cm from one end, then cut the 95cm bit 5cm from the end - you can't make a triangle. You need the longest piece to be less than 50cm - so you've only got a 5cm range where it will work (almost in the middle of the long piece).

We need to end up integrating x instead of (1 - x). Other than that your method is sound.