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Find the values of x and y in the given figure
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| Photo by Math Principles in Everyday Life |
Solution:
Consider the given figure above
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| Photo by Math Principles in Everyday Life |
The given figure consists of two secant segments that are drawn in a circle from an external point. The other line with the same external point is tangent to a circle. If a theorem says "When two secant segments are drawn to a circle from an external point, the product of one secant segment and its external segment equals the product of the other secant segment and its external segment.", then we can solve for the values of x and y which are the secant and external segments.
By using the line segments AO and CO, the value of x is
By using the line segments OA and OE, the value of y is
