A triangle with an inscribed equilateral triangle. If areas A and B add up to C, what are the proportions A : B : C?

Solution

A : B : C is 1 : φ : φ², where φ is the Golden Ratio.

Poem

A pyramid of Gizeh
Keeps in it’s heart
A big hidden cavity
A secret room
But still hides it’s mystery
May be built intentionally
With some voids and galleries
May be it’s time to change history
The question still is ,
Are this voids empty ?
For specialists of egyptology

Bella