What is the relationship between the lengths of two tangents drawn from an exter

What is the relationship between the lengths of two tangents drawn from an external point to a circle?

What is the relationship between the lengths of two tangents drawn from an external point to a circle?

Step 1: Understand what a tangent is. A tangent is a line that touches a circle at exactly one point.
Step 2: Identify the external point. This is a point that is outside the circle from which the tangents are drawn.
Step 3: Draw the circle and the external point. Label the external point as 'P' and the points where the tangents touch the circle as 'A' and 'B'.
Step 4: Draw the two tangents from point 'P' to points 'A' and 'B'. These are the lines 'PA' and 'PB'.
Step 5: Notice that both tangents touch the circle at only one point each (A and B).
Step 6: Use the property of tangents: The lengths of the tangents from an external point to a circle are always equal.
Step 7: Conclude that the length of 'PA' is equal to the length of 'PB'.

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