To find: The length of each diagonal, if one length of the parallelogram measures
Answer to Problem 18E
Longer diagonal = 91.72 cm, Shorter diagonal = 44.59 cm
Explanation of Solution
Given information: Geometry: Two sides of the parallelogram measure 60 centimeters and 40 centimeters.
Calculation:
Use the law of cosines formula with the angle isolated to solve for the longer diagonal
Simplify and solve for the longer diagonal.
Subtract
Use the law of cosines formula to solve for the smaller diagonal in the parallelogram.
Simplify and solve for the smaller diagonal.
Thus,
Longer diagonal = 91.72 cm, Shorter diagonal = 44.59 cm
Chapter 5 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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