Three squares in an equilateral triangle. A geometry puzzle.

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This video is about inscribing three squares in an equilateral triangle.
If you need to post a picture of your solution or idea:
#GeometryPuzzles

  1. SyberMath
  2. inscribed squares
  3. Pythagorean Theorem
  4. geometry
  5. circles
  6. SyberMath
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Комментарии
Автор

Enjoyed that. I like ones that look difficult but turn out to be fairly simple (well, if I hadn't messed up the signs first time around!).

kevinmorgan
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What fraction of the triangle is shaded? All of it! 😂

SyberMath
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You go clean for the problem – and with great success,
which may have been diminished by substitution or the use of complications.
And we haven't run-out of letters of the alphabet – in any language

JoePortly
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Wow, without any dimension, it looks impossible to solve, but you made it possible with the logic and with your vast knowledge. Thank you very much, sir.

tarekraja
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I would read the question to mean what fraction of the large triangle is inside the squares.
Calculate side length of triangle, height is that divided by (root 3)/2, multiply together and divide by 2 to get area. Divide by area of 3 squares.

neuralwarp
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How can i solve this faster, without doing most of the calculations needed?

aaj
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The problem is not well indicated, I understood the ratio of the sides not of the areas.

Anyway, I could solve the problem but your answer is my answer squared

arturovinassalazar