When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using

a. the law of sines
b. the alternative form of the law of sines
c. the alternative form of the law of cosines
d. the pythagorean theorem

Answer;

C. The alternative form of the law of cosines

When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using the alternative form of the law of cosines.

Explanation;From the law of cosines, given that a, b and c are the edges of a triangle and A, B and C are  the corresponding interior angles of the the triangle.Then; a² = b² + c² − 2 bc cos A, or          b² = a² + c² − 2 bc cos B, or          c² = a² +b ² − 2 bc cos C

Therefore; when given all the sides or edges of the triangle;

we can use the law of cosines to find one angle, then we use the law of cosines again to find the second angle, and finally,we use the point that angles in a triangle add up to 180 to get the third angle;

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