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Concept explainers
To obtain: the measure of XY
![Check Mark](/static/check-mark.png)
Answer to Problem 8CR
The measure of XY is
Explanation of Solution
Given Information: A
Formula used:
(a) Tangent drawn to a circle from a common point to intersect the circle at two different points has the same measure.
It can be expressed as,
(b) The relationship between the legs of right
It can be expressed as,
Calculation:
Consider the circle centered at P with tangents XZ and ZY as shown below. The
Now, length of one of the tangents XZ is given as XZ=13. By the property in (a) the length of the other tangent YZ =XZ=13. Thus, the ΔXYZ is an isosceles right triangle.
So applying Pythagoras theorem using (b) , in ΔXYZ, the length of XY can be obtained as,
Chapter 9 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
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