Question

choose the word that correctly completes the statement.
since angle b is the largest angle, \\(\overline{ac}\\) is the ______ side.
\\(\bigcirc\\) adjacent
\\(\bigcirc\\) included
\\(\bigcirc\\) longest
\\(\bigcirc\\) shortest

Explanation:

Step1: Identify angle B's measure

Angle at B is 75°, which is larger than angles at A (60°) and C (45°), so angle B is the largest angle.

Step2: Apply triangle angle-side relationship

In a triangle, the side opposite the largest angle is the longest side. Side $\overline{AC}$ is opposite angle B.

Answer:

C. longest