Concept explainers
To prove: that
Answer to Problem 26WE
Explanation of Solution
Given information:
The common chord extended to meet
A line is tangent to two intersecting
Calculation:
Let lbe the common tangent of the two circles that intersect.
The common chords
Consider the following theorem
When a segment and a tangent segment are drawn from an outer point to a circle, the product of the secant segment and its outer segment is equal to the square tangent segment.
Using the theorem and solve,
Since,
So,
Similarly,
So,
Similarly,
So,
Now, make the two equations equal:
Take square root on both sides.
Since
Hence, it is proved that
Chapter 9 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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