Cutting random triangles with random lines

In this research we investigate randomly generated triangles partitioned with randomly generated lines which separates the triangle into 2 shapes. We calculate the expected value of the ratio of the areas of these 2 shapes.With Integrative geometry and elliptic parametrization We get that the answer is (19/32) * (𝛑^2 / 6 - 1).This answer is interesting because by observing quadrilaterals and triangles we somehow arrive at an answer that contains 𝛑, a seemingly unrelated constant.This research is the first step to a generalization where a formula is found not just for triangles but for any polygons.