Question

what is the relationship between two tangents drawn from an external point to the same circle?

Answer 1

Answer:

A line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency. The Two-Tangent Theorem states that if two tangent segments are drawn to one circle from the same external point, then they are congruent.

Answer 2

It is known that a tangent at any point of a circle is perpendicular to the radius through the point of contact. Thus, it is proved that the lengths of the two tangents drawn from an external point to a circle are equal.

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