solve it smartly
Geometry
Level
2
In a triangle ABC, sides are AB=4,BC=2,CA=3 units.If the bisector of angle ACB cuts AB in D and circumcircle of the triangle ABC in E,then find the value of [CE/DE]. here [.] denotes greatest integer function.
The answer is 1.
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1 solution
Using cosine formula,we get CD=0.36 and DE=8/(15^0.5) and thus the required ratio is 1+(9(15)^0.5)/200. The final answer is 1