Using the law of cosines, write an algebraic proof to show that the angles in an equilateral triangle must equal 60°. use "∧" to indicate exponents. for example, type a2 as a∧2. (hint: let s be a length of each side and x be the angle measure; then use these variables in the law of cosines.)

All the angles in an equilateral triangle must be equal to 60°.

Step-by-step explanation:

Length of all sides and all interior angles of an equilateral triangle are same.

Let the side length of an equilateral triangle ABC be x.

According to Law of Cosine:

Length of all sides is x.

Hence proved, that all the angles in an equilateral triangle must be equal 60°.

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step-by-step explanation: