Outer Inscribed Squares Triangle


A similar construction can be done by initially erecting a square internally on the side BC. This leads to the A^--inscribed square. The triangle DeltaX^-Y^-Z^- of centers of the A^--, B^--, and C^--inscribed squares form the outer inscribed squares triangle, which is perspective to DeltaABC with the inner Vecten point, Kimberling's X_(485), as its perspector.

The triangle has area


where Delta is the area of the reference triangle.

See also

Inner Inscribed Squares Triangle, Triangle Square Inscribing

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Outer Inscribed Squares Triangle." From MathWorld--A Wolfram Web Resource.

Subject classifications