Math Problem Statement
There is a circle. A vertical chord ABC exists inside it, where ABC is a straight line, with point A and C lie on the circle. Another horizontal chord EBG exists inside the circle, EBG intersects and perpendicular ABC at point B, where E and G lie on the circle and EBG is a straight line. Given AB=13 and BC=27 and BG=9 and the two chord do not pass through the center O. What is the radius of the circle?
Solution
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Math Problem Analysis
Mathematical Concepts
Circle Geometry
Pythagorean Theorem
Perpendicular Bisector Theorem
Formulas
Pythagorean Theorem
Theorems
Perpendicular Bisector Theorem
Suitable Grade Level
High School
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