The measure of the angle between the sides measuring 512 and 734 of a triangular field is cosine inverse of -66594.99
What is Law of Cosines?
Law of cosines signifies the relation between the lengths of sides of a triangle with respect to the cosine of its angle. It is also called the cosine rule.
If ABC is a triangle, then as per the statement of cosine law, we have:
a² = b² + c² – 2bc cos x, where a, b, and c are the sides of triangle and x is the angle between sides b and c.
According to the given question:
Consider the triangle attached below as triangle ABC, where,
a = 473
b = 512
c = 734
By using cosines law,
a² = b² + c² – 2bc cos x
Substituting the value of the sides of the triangle i.e a, b and c, we get
cos(x) = (512² + 734² - 473²)/(2*512*734)
cos(x) = -66594.99
Hence the required angles is cosine inverse of -66594.99
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