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

Scroll down for a solution to this problem.

## Solution

A : B : C is 1 : φ : φ^{2}, 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