in trapezium ABCD, side AB || side DC
diagonals AC and BD intersect
in point O. If AB = 20. DC = 6, OB = 15, then find OD.
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ANSWER :-
Side AB || Side DC and line DB is transversal
.'.
Side AB || side DC and line AC is transversal
.'. triangle DCO ≈ OAB ...AA test ... from (1) & (2)
≈ means Similar
DC/BA = DO/BO ... Ratio of corresponding sides of 2 similar triangles
DC/BA = DO/BO
6/20 = DO/15
DO × 20 = 6 × 15
.'. DO = 4.5
.'. OD = 4.5
.
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