Editing Isosceles triangle (section)

===Inscribed square===
For any isosceles triangle, there is a unique square with one side collinear with the base of the triangle and the opposite two corners on its sides. The [[Calabi triangle]] is a special isosceles triangle with the property that the other two inscribed squares, with sides collinear with the sides of the triangle,
are of the same size as the base square.{{sfnp|Conway|Guy|1996}} A much older theorem, preserved in the works of [[Hero of Alexandria]],
states that, for an isosceles triangle with base <math>b</math> and height <math>h</math>, the side length of the inscribed square on the base of the triangle is{{sfnp|Gandz|1940}}
:<math>\frac{bh}{b+h}.</math>