Mathematics

Question

in order to apply the law of cosines to find the length of the side of a triangle, it is enough to know which of the following ?

the area of a triangle ?

The measure of an angle and the length of the side opposite that angle ?

the lengths of the two triangle sides and the measure of the angle between them ?

2 Answer

  • Third one is right.

    Two sides and the angle between them.

    The cosine trigonometric function is defined as:

    cos(x) = adjacent/hypotenuse

    I.e. the cosine of an angle (within a right-angle triangle) is equal to the ratio of the adjacent side (to the angle) to the hypotenuse, where the angle is one the two that is not the right-angle.

    If you illustrate this, you can observe that the components of the cosine on a diagram are always the two sides that create the angle and therefore the angle will naturally be between these two sides.

  • Answer: C.

    the lengths of the two triangle sides and the measure of the angle between them

    Step-by-step explanation:

    a p e x

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