To find: the length of diagonals if the larger angle is
Answer to Problem 49E
The diagonal
Explanation of Solution
Given:
The side of the parallelogram are
The larger angle is
Concept used:
Parallelogram characteristic are:
Sum of the adjacent angle is
Opposite angle of the parallelogram is equal.
Diagonal of the parallelogram can be calculated from the law of cosine which is:
Calculation:
According to the given:
The side of the parallelogram are
The length of each diagonal if the larger angle measures
Using law of cosine:
the length of others diagonal can be calculated as:
first determining the angle other angle of the parallelogram:
let the other angle be
So, the other angle is
Using law of cosine again:
Hence, the diagonal
Chapter 13 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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