A field is triangular in shape with sides 473, 512 and 734. What is the measure of the angle between the sides measuring 512 and 734?.

Respuesta :

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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