Trigonometry Solutions
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The diagonals of a parallelogram are 7 inches and 9 inches respectively, they intersect at an angle of \(52^o\). Find the sides of the parallelogram.
The intesection of the diagonals of a parallelogra bisect each diagonals. Thus, the values of \(x ~ and ~y\) can be calculated using cosine law.
Solve the value of \(x:\)\( x^2 = 3.5^2 + 4.5^2 - 2(3.5)(2.5) \cos 52 \)
\(x = 3.62 ~inches\)
Solve \(y:\)
\(y^2 = 3.5^2 + 4.5^2 -2(3.5)(4.5) \cos 128\)
\(y = 7.20 ~inches\)