To find:The length of the diagonal of a parallelogram.
The length of the diagonal of the parallelogram is 109 cm.
Given data: The sides of a parallelogram are 54 cm and 78 cm. The greatest angle is
Method/Formula used:
The Law of Cosines for the
Calculations: The parallelogram of sides 54 cm and 78 cm is shown in Fig. 1.
Let d be the diagonal of the parallelogram, then from Cosines Law in triangle ABC of Fig. 2,
Substitute
Substitute -0.3420 for
Therefore, the length of the diagonal of the parallelogram is 109 cm.
Chapter 14 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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