The base of the trapezoid is 5: 6 diagonal ac equals 3.3 cm find the distance from the point of intersection of the diagonals to a and c?

O is the point of intersection of the diagonals. AD: BC = 6: 5
(if the bases are the other way around, then the answer is just to swap the distances)
triangles COB and AOD are similar in three corners.
AO: OC = 6: 5
AO = 6x, CO = 5x
6x + 5x = 3.3
x = 0.3
6x = 1.8
5x = 1.5



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