Haberdasher's Puzzle

Geometry Level 3

The diagram above shows how an equilateral triangle can be cut into four pieces and rearranged to form a square.

If the length of the square is 1327, find the length of the triangle, correct to the nearest whole number.


The answer is 2017.

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Lee Care Gene by Lee Care Gene , 20, Malaysia

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1 solution

Nikkil V
Apr 6, 2016

The area of square is equal to area of triangle.

So, the length of triangle = 1327 × 2 3 4 \frac{1327\times 2}{\sqrt[4]{3}} =2016.6039

2017(approximately)

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Totally dont understand...if length of square is 1327 then each side is 331.75. Area is 110058.0625 for square and also triangle. Formula for area of equilateral triangle is (sqrt(3) s *2)/4. S=504.15 so length of triangle is 1512.45

Greg Grapsas - 3 years, 6 months ago

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