Just another provocative triangle

Geometry Level 4

Consider a triangle ABC with AB=3 , BC=6 , CA=5 . Let the angle bisector of angle BAC intersect side BC at a point D and E is the middle of the segment BD . If I is the incenter of the triangle ABC and F∈(AC) with FC=k FA , find the INTEGER value of k so that E,I,F are collinear. [k]=?

I.E. The integer value of 25.623=[25.623]=25 ; [0.124]=0 .


The answer is 2.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

0 solutions

No explanations have been posted yet. Check back later!

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...