Concept explainers
To calculate:
The perimeter of the given diagram.
Answer to Problem 49PPS
The perimeter of the quadrilateral is
Explanation of Solution
Given information:
Concept used:
Law of sines:
Law of cosines:
Calculation:
First name the quadrilateral
So, find the
Law of cosines:
The sum of the
Now, use the law of sines to solve for
Law of sines:
First substitute,
Use the cross-product property,
Now, divide each side by
Now get the value of
Similarly, solve for
First substitute,
Use the cross products property,
Divide each side by
Now get the value of
Therefore, the perimeter of the quadrilateral is about
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PREALGEBRA
- 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