The lengths of the sides in a right triangle form 3 consecutive terms of a geometric sequence. How do you find the common ratio of the sequence?
The ratio must be
Three numbers are in a geometric series if they're of the form
If they're sides of a right triangle, then we have
To solve this equation (which of course you can rewrite as
And this equation is quite famous, since it is the one whose solution involve the golden ratio, so
Now we have to remember that
Finally, we can solve for