Find the rightmost triangle with respect to the diagonal in a four-sided polygon.

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The goal is to find the right triangle, depicted in red, in a four-sided polygon with respect to the diagonal. The four-sided polygon's vertices are known.

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Initial attempts: The angle formed by the diagonal and the positive x-axis is calculated. I used x1 of v1 > x1 of v3 to identify the red triangle if the angle was found within the first quadrant.

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Draw a line parallel to the given diagonal from both of the other two points, and determine which one has an x-intercept greater than the other.