The figure below shows a right triangle ABC with AA1
and AA2
trisectors of angle BAC, similarly CC1
and CC2
trisectors of angle ACB. AA1
meets CC2
and CC1
at C3
and B1,
respectively. AA2
meets CC2
and CC1
at B2
and A3, respectively. Prove that triangle A1B2C1
is an equilateral triangle.
![Geometry Problem Triangle 1115, Right Triangle, Angle Trisection, Equilateral Triangle Infographic Geometry problem 1115: Right Triangle, Angle Trisection, Equilateral Triangle](p1115-right-triangle-angle-trisector-equilateral-math.gif)
Art of Geometry Problem 1115 using Mobile Apps. Light
Patterns.
![Art of problem 1115 using mobile apps](p1115-art-right-triangle-mobile-apps-7.jpg)
Art of Geometry Problem 1115 in Motion. Light patterns
Click on the figure below.
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