How is the Square Root of Three Factor Derived in a Three Phase Generator?

[darkmagic]

Homework Statement

Can someone tell me how the (square root of three) factor is derived in a three phase generator?

Homework Equations

The Attempt at a Solution

 

[darkmagic]

Can someone show me the derivation?

 

[berkeman]

Homework Statement

Can someone tell me how the (square root of three) factor is derived in a three phase generator?

Homework Equations

The Attempt at a Solution

If you draw the three equally spaced voltage phases like in this diagram:

http://images.google.com/imgres?img...N&rlz=1T4GGLL_enUS301US302&ndsp=18&tbs=isch:1

You can see the they form equilateral triangles. What is the ratio of side lengths in a right triangle that bisects an equilateral triangle?