Question

order the sides from least to gr

1. b

51°
92°
a c

Explanation:

Step1: Find the measure of angle \( C \)

The sum of angles in a triangle is \( 180^{\circ} \). Let \( \angle A = 92^{\circ} \), \( \angle B=51^{\circ} \). Then \( \angle C=180^{\circ}-\angle A - \angle B \).

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Step2: Use the angle - side relationship

In a triangle, the side opposite the smaller angle is shorter.
Since \( \angle C = 37^{\circ}<\angle B = 51^{\circ}<\angle A=92^{\circ} \), the side opposite \( \angle C \) is \( AB \), the side opposite \( \angle B \) is \( AC \), and the side opposite \( \angle A \) is \( BC \).

Answer:

\( AB