(a)
To Find : The type of the given quadrilateral.
(a)
Answer to Problem 9WE
The figure is Square.
Explanation of Solution
Given:
The
The tangent meet at Z.
In quadrilateral OXYZ
OX and OY is tangent to a circle.
That is;
Then addition of Adjutants angle is 180° .
Similarly prove that
Then all
Therefore, this quadrilateral is Rectangle.
Opposite side of rectangle are equal.
Thus,
But YX =XY (Tangent to the circle to same point)
Then, it can be concluded that,
Then, all side is equal and all angles are
(b)
To Find : The value of OZ.
(b)
Answer to Problem 9WE
The value of OZ is
Explanation of Solution
Given:
OX=5
In the above figure this is a square then all side is same.
Use Pythagoras Theorem,
In
Simplify;
Therefore, the value of OZ is
Chapter 9 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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