MathDB

A straight line cuts the side

AB

of the triangle

ABC

C_1

, the side

AC

B_1

and the line

BC

A_1

C_2

is the reflection of

C_1

in the midpoint of

AB

, and

B_2

is the reflection of

B_1

in the midpoint of

AC

. The lines

B_2C_2

and

BC

intersect at

A_2

. Prove that

\frac{sen \, \, B_1A_1C}{sen\, \, C_2A_2B} = \frac{B_2C_2}{B_1C_1}

https://cdn.artofproblemsolving.com/attachments/3/8/774da81495df0a0f7f2f660ae9f516cf70df06.png

Problem Statement