Consider the case of and cb of lengths 5 and 12, respectively, with m∠ > 180°.
a. is the law of cosines consistent in being able to calculate the length of abc even using an angle this large? try it
for m∠ = 200°, and compare your results to the triangle with m∠ = 160°. explain your findings.
b. consider what you have learned in problems 1–4. if you were designing a computer program to be able to
measure sides and angles of triangles created from different line segments and angles, would it make sense to
use the law of cosines or several different techniques depending on the shape? would a computer program
created from the law of cosines have any errors based on different inputs for the line segments and angle
between them?