As shown in the figure, given the line AB = 10cm, there is a point C on AB, and AC: BC = BC: AB, find the length of AC

As shown in the figure, given the line AB = 10cm, there is a point C on AB, and AC: BC = BC: AB, find the length of AC

Let AC be X. X: 10-x = 10-x: 10, and x = 15-radical 5