Inner Inscribed Squares Triangle


Externally erect a square on the side BC. Now join the new vertices S_(AB) and S_AC of this square with the vertex A, marking the points of intersection Q_(A,BC) and Q_(A,CB). Next, draw the perpendiculars to BC through Q_(A,BC) and Q_(A,CB). These lines intersect AB and AC respectively in Q_(AB) and Q_(AC). This results in the A^+-inscribed square Q_(A,BC)Q_(A,CB)Q_(AB)Q_(AC).

The triangle has area


where Delta is the area of the reference triangle.

See also

Triangle Square Inscribing, Outer Inscribed Squares Triangle

Explore with Wolfram|Alpha

Cite this as:

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

Subject classifications