The figure below shows a right triangle ABC with AA_{1}
and AA_{2}
trisectors of angle BAC, similarly CC_{1}
and CC_{2}
trisectors of angle ACB. AA_{1}
meets CC_{2}
and CC_{1}
at C_{3}
and B_{1},
respectively. AA_{2}
meets CC_{2}
and CC_{1}
at B_{2}
and A_{3}, respectively. Prove that triangle A_{1}B_{2}C_{1}
is an equilateral triangle.
Art of Geometry Problem 1115 using Mobile Apps. Light
Patterns.
Art of Geometry Problem 1115 in Motion. Light patterns
Click on the figure below.
