Concept explainers
To Find :The type of given quadrilateral JPQK.
Answer to Problem 17WE
The given quadrilateralJPQK must be a Trapezium.
Explanation of Solution
Given information:
JK is tangent to the
The measures of the sides are,
OT is required to find the measures of sides JD and JK.
Now,
Joint PJ and QK and make a line parallel to PQ that is DK.
Then, it implies that
To find DK;
The measures of sides in this right angle triangle are,
Use Pythagoras Theorem as follows;
Take positive square to get,
JK= 15
Therefore, the required length is JK=15.
In quadrilateral PQJK, sum one pair of adjacent angle is
So it can be concluded that the opposite sides is parallel.
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