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°.

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: