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Concept explainers
To find:Measure of ED in given diagram.
![Check Mark](/static/check-mark.png)
Answer to Problem 28WE
The measure of
Explanation of Solution
Giveninformation: In below given figure,
Concept used:Use the following theorems:
- A chord subtends equal
angles at a tangent as well as on its remaining arc. - If a secant and a tangent join at an exterior point, then the square of the tangent is equal to the product of secant and its exterior part of
circle . - In two
triangles if two pairs of corresponding angles are congruent, then these two triangles are similar.
Proof:Let
Now angle formed by arc
So, in
So by AA similarity, both these triangles are similar, so the ratio of their corresponding sides will be equal, or,
Again using (ii) theorem,
Now on plug in the above value of y in this last equation,
Factorize it as,
And,
Conclusion: Thus,by above calculation it is cleared that
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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