Use the right theorem

Geometry Level 4

In \( \Delta ABC \) as shown above, straight lines are drawn from each of the vertices to their respective opposite sides and meet at point \(K\). Furthermore, \( \overline{AB} = 5\), and \( \overline{AC} = 12\).

If \( \large \frac {AD}{DB} = 2\frac{AE}{EC} \), the limiting length of \( \overline {BF} \) can be expressed in the form \( \frac{a}{b} \) where \(a\) and \(b\) are coprime positive integers. Determine \(a+b\).

×

Problem Loading...

Note Loading...

Set Loading...