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According to law of cosines the length of RQ can be written as .
Given the length PR is 6 , the length of RQ is p, the length of PQ is 8 and the angle RPQ is 39 degrees.
A length of the triangle can be written as according to law of cosines if sides are given and one angle is
We have to just put the values in the above equation.
as .
p is the side opposite to angle given , the length of other sides are 6 and 8 and angle is 39 degrees.
Hence the side can be written as according to law of cosines if the angle is 39 degrees is as .
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This can be solved using a system of equations.
Subtract y from both sides.
Substitute:
Subtract 80 from both sides:
Divide both sides by 5:
Substitute.
Subtract y from both sides.
Substitute:
Subtract 80 from both sides:
Divide both sides by 5:
Substitute.