Question

In trapezium ABCD, (Figure 1.60)
side AB || side DC, diagonals AC and
BD intersect in point O. If AB = 20,
DC = 6, OB = 15 then find OD.

Answer 1

give me the figure of this question

Answer 2

According to Basic proportionality theorem,
AB OB
----- = ------
DC OD

I.e, 20 15
----- = -----
6. 0D

When we cross multiply this ,

OD*20=15*6
OD= 90
-----
20
= 4.5