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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 Answers

4 votes

Answer:

third one:the lengths of the two triangle sides and the measure of the angle between them

Explanation:

Big brain know big math

User Ben Gribaudo
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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.

User Richie Marquez
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