Respuesta :
The Law of Cosines can be used to calculate the length of the third side of an oblique triangle when two sides and the non-included angle are given.
What is Law of Cosines?
The law of cosines is a mathematical theorem used to calculate the lengths of the sides of a triangle when the angles and one side are known. It is also used to find the angle between two sides of a triangle when the length of the sides are known. The law states that in a triangle, the square of the length of the longest side is equal to the sum of the squares of the other two sides, plus twice the product of the two sides multiplied by the cosine of the angle between them. This theorem can be expressed mathematically as c2 = a2 + b2 – 2abcos(C). This theorem is also known as the cosine rule, and it is a generalization of the Pythagorean theorem, which is used for right triangles. The law of cosines can be used for other shapes, such as ellipses and circles, and it can even be used to calculate the area of a triangle when the lengths of three sides are known.
This is represented by the formula:
c^2 = a^2 + b^2 - 2abcos(C)
where c is the length of the third side, a and b are the lengths of the other two sides, and C is the non-included angle.
To learn more about theorem
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