Question
Two line segments 
intersect at E such that 
If AE = 4cm, BE = 3cm, CE=6cm and DE = x cm then x = ?
- 4. 5
- 4
- 2
- none of these
Hint:
ratio of sides remains same in similar triangles.
The correct answer is: 4. 5
x= 4.5
given, that triangles ACE and BDE are similar. this implies that the ratio of the sides will be equal in both the triangles.
AE / CE = BE / DE
4/6 = 3/x
x = 18/4
x = 4.5
We can also use trigonometry to solve this question since all the angles are same in similar triangles. Angle AEC = angle BED.
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