what are the lengths of the 2 segments?

Question

a segment 8 units long is to be divided into two segments such that the segments would be in the ratios. What are the 2 lenghts?

Answer 1

The golden mean is (1 + √5) / 2, or 1.61803399.

 

x = small segment

x + 1.61803399 = longer segment

 

2x + 1.61803399 = 8

2x =6.38196601

x = 3.19098301

x + 1.61803399 = 4.80901700