
To calculate: The length of sides of the parallelogram when the length of the diagonals are 10 feet and 16 feet.

Answer to Problem 35RE
The length of sides of the parallelogram is 4.3 feet and 12.6 feet.
Explanation of Solution
Given information:
The length of the diagonalsof the parallelogram are 10 feet and 16 feet.
Formula Used:
The law of sines formula:
The law of cosines formula:
Calculation:
Consider the parallelogram
The length of the diagonals
Take
In
Substitute 8 for OD, 5 for OC and 0.8829 for
Take square root on both sides.
In
Use cosine formula to find the value of BC.
Substitute 8 for OB, 5 for OC and 0.8829 for
Take square root on both sides.
Hence, the length of sides of the parallelogram is 4.3 feet and 12.6 feet.
Chapter 6 Solutions
Precalculus with Limits
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