How many equilateral triangles with sides of 4 can fit into a larger equilateral triangle with sides of 2012?

the base measures 2012 if you divide that by four you get 503 trianles on the bottom and on the sides and each one gets one smaller until you get to one so 503+502+501,.... or 252+251(504) so the answer is 126,756 triangles in total because 1+503=504 2+502=504... when you get to 252 you just add that to itself so that is the odd one out

Answered by apologiabiology | 2024-06-10

A total of 253009 smaller equilateral triangles with sides of 4 can fit into a larger equilateral triangle with sides of 2012. This is determined by calculating the areas of both triangles and dividing the area of the large triangle by that of the small triangle. Using the area formula for equilateral triangles gives us the answer.
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Answered by apologiabiology | 2024-12-26