In Exercises 13 to 17, use the Law of
Two sides of a parallelogram are 50 cm and 70 cm long. Find the length of the shorter diagonal if a larger angle of the parallelogram measures
To find:
The length of the shorter diagonal of a parallelogram.
Procedure used:
In any triangle ABC such that
The Law of cosines is given by
The Law of sines is given by
Calculation:
Given:
Length of the sides of the parallelogram are 50 cm and 70 cm.
The larger angle
Let
From the above figure we have
The diagonal
To find the length of the shorter diagonal
By the property of parallelogram, consecutive angles of any parallelogram is supplementary
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