By applying the law of cosine, the length of c is approximately equal to 56 meters.
In order to determine the length of c, we would apply the law of cosine:
C² = A² + D² - 2(A)(D)cosD
Note: Angle D = 180 - 65 = 115°
Substituting the given parameters into the formula, we have;
C² = 37² + 29² - 2(37)(29)cos115
C² = 1,369 + 841 - 2146(-0.4226)
C² = 2210 + 906.94
C² = 3116.94
C = √3116.94
C = 55.83 ≈ 56 meters.
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Complete Question:
Two adjacent sides of a parallelogram are 27' and 37', respectively. The angle (between these two sides is 65°). Find the length of c.