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Which of the following can be used to find the measure of an angle of a triangle when the lengths of the sides are known?*a. Law of Sinesb. Law of Cosinesc. Law of Inertiad. Law of Entropy

Question

Which of the following can be used to find the measure of an angle of a triangle when the lengths of the sides are known?*a. Law of Sinesb. Law of Cosinesc. Law of Inertiad. Law of Entropy

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Solution

The Law of Sines and the Law of Cosines can be used to find the measure of an angle of a triangle when the lengths of the sides are known. The Law of Inertia and the Law of Entropy are not relevant in this context as they are principles in physics, not geometry.

Here's how you can use each:

  1. Law of Sines: This law states that the ratio of the length of a side of a triangle to the sine of its opposite angle is the same for all three sides of the triangle. If you know the lengths of two sides and one of their opposite angles, you can use the Law of Sines to find the measure of the other angles.

  2. Law of Cosines: This law relates the lengths of the sides of a triangle to the cosine of one of its angles. If you know the lengths of all three sides of the triangle, you can use the Law of Cosines to find the measure of any of the angles.

So, the correct answers are a. Law of Sines and b. Law of Cosines.

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