।n trapezium ABCD, side AB || side DC , diagonals AC and BD inyersect in point O. if AB = 20, DC = 6 , OB = 15 then findOD
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Answer:
OD=4.5
Step-by-step explanation:
GIVEN:
AB=20, DC=6, OB=15, OD=?
Side AB//side DC
SOLUTION:
COD AND AOB
angle COD = AOB ...............(Vertically opposite angles)
Angle DOC= BAO .................(Alternate interiors angles)
By AA Similarity test
Triangle COD = AOB
OD/ OB= DC/AB
= OD/ 15= 6/20
= OD= 6*3/4
= OD= 9/2
= OD = 4.5
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