If two tangents are drawn from a point outside a circle to the circle, and their lengths are 10 units each, what is the distance from the external point to the centre of the circle if the radius of the circle is 6 units?

The line from the circle's center to the external point bisects the angle between the tangents, creating a right triangle with the radius and the tangent line. Using the Pythagorean theorem, the distance to the center is the square root of 10 squared plus 6 squared. This calculates to the square root of 100 plus 36, which is the square root of 136, or approximately 11.67 units.

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