Daily Maths Challenges

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Share your cool maths problems.

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Post your solution in comments, if it is exactly the same as OP's solution, let us know.
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Post a challenge:

Doesn't have to be original, as long as it is not a duplicate.
Challenges not riddles, if the post is longer than 3 paragraphs, reconsider yourself.
Optionally include solution in comments, let it be clear this is not a homework help forums.
Tag [unsolved] if you don't have a solution yet.
Please include images, if your question includes complex symbols, attach a render of the maths.

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siriusmart

Find a+b (self.dailymaths)

submitted 6 months ago* (last edited 6 months ago) by zkfcfbzr to c/dailymaths

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The image is of a large unit square with five smaller disjoint shaded squares contained entirely within it. The five smaller squares are congruent. Four of them are at each corner of the large square. The fifth is in the center, rotated diagonally, so the center of each of its sides is touched by the vertex from one of the other four squares. You are given that the common length for the five smaller congruent squares is (a-sqrt(2)) / b, where a and b are positive integers. What is the value of a + b?

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[–] siriusmart 2 points 6 months ago (1 children)

hey would u like to create an index post? its just so that everything can be accessed within a few clicks from the listing post

u can follow the format

# Index of XXX

|Date|Post|Difficulty|
|---|---|---|
|2024/04/28| [Sum to infinity is -1/12](https://lemmy.world/post/14877972)|7/10|
...

its entirely optional and its up to u

[–] zkfcfbzr 2 points 6 months ago

I've got 3 or 4 other problems in mind that I might post at some point - I'll make an index post with problem #2. Wanna keep them spaced out since I don't have too many.