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The nine points of this grid are equally spaced horizontally and vertically. The distance between two neighboring points is 1 unit. What is the area, in square units, of the region where the two triangles overlap?

 Nov 29, 2019
 #1
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Using coordinates, we can compute the equation of every line in the diagram, then we compute the coordinates of every point.  One of the points of intersection is (1/4,3/4).  This gives us an area of 3/2.

 Nov 29, 2019
 #2
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The nine points of this grid are equally spaced horizontally and vertically. The distance between two neighboring points is 1 unit. What is the area, in square units, of the region where the two triangles overlap?

laugh

 Nov 29, 2019

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