The bell tolls

An equilateral triangle inscribed in a rectangle. What is its area X in terms of triangle areas A and B?

Scroll down for a solution to this problem.


The area X=2√(A2+AB+B2).

Solution by Lewis Corner.


The cowbell in Switzerland
And this bell hanging on their neck
And flowers on their head
A wonderful sound
This aesthetically chimes
Accompagnying the transhumance of the nomadic herd
Such wonderful carillons
They clang in unisson
With the rythmic mouvements
As they walk


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