Math Problem Statement
Solution
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Problem 24:
Given a circle with diameter , on one side of the line , the tangents and are drawn, both of which are perpendicular to the line . Let be a point on the line , which is not on the circle, and the tangent from point touches the circle at .
a) Calculate .
b) Prove that .
c) Prove that , where is the radius of the circle.
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Math Problem Analysis
Mathematical Concepts
Circle geometry
Tangents
Perpendicular lines
Length of tangents from an external point to a circle
Formulas
Tangential length theorem
Power of a point theorem
Theorems
Power of a point theorem
Segment addition postulate
Suitable Grade Level
Grades 10-12
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