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Let \(A_1A_2A_3A_4\) be a square, and let \(A_5,A_6,A_7,\dots,A_{34}\) be distinct points inside the square. Non-intersecting segments \(\overline{A_iA_j}\) are drawn for various pairs \((i,j)\) with \(1\le i,j\le34\), such that the square is dissected into triangles. Assume each \(A_i\) is an endpoint of at least one of the drawn segments. How many triangles are formed?

 Jul 16, 2020
 #1
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There are 185 triangles formed.

 Jul 18, 2020
 #2
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yer wrong

 

answer is 62

 Jul 19, 2020

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