The following figure points out that like the circle 3 fills the dis­tance from below the triangle’s base, to bottom of the outer circle 1, the circle 2 does the same on to the other side from above the base, which shows us with ease that the height of the Triangle is even in Phi ratio with the outer circle diameter!

This revealed an alternative way to draw the complete golden triangle - all its sides being involved - and instructs us of many interesting detais con­cern­ing the relations between our ‘el­e­men­ta­ry’ rec­tan­gle and the con­cen­tric circles scaled in Golden Ratio, which look like to have beeen pre­sent behind the scenes at each step of our process, giving rise to what we can settle from now on as the “Golden Circles Ratio.