To find:The length of shorter diagonal of a parallelogram.
The length of the shorter diagonal of the parallelogram is
Given data: The sides of a parallelogram are 21 cm and 14 cm. The smallest angle is
Method/Formula used:
The Law of Cosines for the
Calculations: The parallelogram of sides 21 cm and 14 cm is shown in Fig. 2.
Let d be the shorter diagonal of the parallelogram, then from Cosines Law in triangle ABD of Fig. 2,
Substitute
Solving further,
Therefore, the length of the shorter diagonal of the parallelogram is
Chapter 14 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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