# Erased triangle

I draw an equilateral triangle on the sand. On each side I put a stone.

Two days later, the stones are still there, but the wind has blown away the triangle.

Could you find again the triangle from the stone ?

Of course not ! there are infinitely many ! But find the largest one ?

Solution
### Extensions

Now I put the stones on the

**lines** containing the sides.

Same problem.

Solution
### Circles

Replace points by circles, that is to construct the largest equilateral triangle whose sides are tangent
to three given circles, just one circle per side of course.

Details