In ABC, mB > mC and mC > mA. Which side of ABC is longest?
A. AB
B. AC
C. BC
The largest angle is opposite the longest side, the smallest angle is opposite the smallest side. ...
it looks like B is the largest angle, so ...
To determine the longest side of triangle ABC, we need to compare the measures of its three sides, AB, AC, and BC, based on the given information.
Given that mB > mC and mC > mA, we know that angle B is the largest angle, followed by angle C, and then angle A. Recalling the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side, we can use this information to deduce the relationship between the angles and the sides.
Since angle B is the largest angle, side BC must be the longest side, as it is opposite the largest angle in the triangle. Therefore, the answer is:
C. BC