2007 AMC 8 Problems/Problem 12
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Problem
A unit hexagram is composed of a regular hexagon of side length and its equilateral triangular extensions, as shown in the diagram. What is the ratio of the area of the extensions to the area of the original hexagon?
Solution
The six equilateral triangular extensions fit perfectly into the hexagon meaning the answer is
Solution 2
Split the hexagon into six small equilateral triangles. You will see that the six outer triangles can be folded to the hexagon, so the answer is
Video Solution by OmegaLearn
https://youtu.be/abSgjn4Qs34?t=349
~ pi_is_3.14
See Also
2007 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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All AJHSME/AMC 8 Problems and Solutions |
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