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If triangles continue indefinitely in the square then what fraction of the square is shaded?

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If triangles continue indefinitely in the square then what fraction of the square is shaded?
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posted Sep 25, 2017 by anonymous

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1 Answer

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Two thirds is shaded.

answer Sep 26, 2017 by Firstname Iskowitz
Looks to be correct, can you add the explanation also?
commented Sep 26, 2017 by Salil Agrawal
1/2 is shaded from the biggest triangle, then the second is 1/8th the size of the square so add 1/2 and 1/8 to get 0.625, then 1/32 for 0.65625, then 0.6640625 and so on.
commented Sep 28, 2017 by Firstname Iskowitz



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