Question

which statement about △abc is true? a b c

Explanation:

Step1: Recall angle - side relationship in a triangle

In a triangle, the side opposite the largest angle is the longest side and the side opposite the smallest angle is the shortest side.

Step2: Identify angle measures

In \(\triangle ABC\), \(\angle A = 61^{\circ}\), \(\angle B=59^{\circ}\), \(\angle C = 60^{\circ}\). The order of angle measures from smallest to largest is \(\angle B<\angle C<\angle A\).

Step3: Determine side - angle correspondence

The side opposite \(\angle B\) is \(AC\), the side opposite \(\angle C\) is \(AB\), and the side opposite \(\angle A\) is \(BC\). Since \(\angle B\) is the smallest angle, \(AC\) is the shortest side. Since \(\angle A\) is the largest angle, \(BC\) is the longest side.

Answer:

The statement "AC is the shortest side of \(\triangle ABC\)" is true.