Which is greater?

Geometry Level pending

Let A B C D E ABCDE be a pyramid with squared base A B C D ABCD and lateral equilateral triangles. If each edge length is 1 1 , the area of the greater triangle formed uniting three of the vertices can be written as a b \frac{a}{b} . Find the value of a + b a+b


The answer is 3.

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