MathDB

Let

I

be the center of the incircle of non-isosceles triangle

ABC,A_{1}=AI\cap BC

and

B_{1}=BI\cap AC.

Let

l_{a}

be the line through

A_{1}

which is parallel to

AC

and

l_{b}

be the line through

B_{1}

parallel to

BC.

Let

l_{a}\cap CI=A_{2}

and

l_{b}\cap CI=B_{2}.

Also

N=AA_{2}\cap BB_{2}

and

M

is the midpoint of

AB.

CN\parallel IM

find

\frac{CN}{IM}

Problem Statement