zigzag, right angled triangle

Here ya go:


OA = 1
OB = r

Tr OBC

OB^2 = OA.OC or OB is GM of OA and OC

OC = r^2

Tr OCD

OC^2 = OB.OD


OD = r^3

Tr ODE

OD^2 = OC.OE

OE = r^4

Similarly, OF = r^5, OG = r^6