Question

consider the triangle. which shows the order of the angles from smallest to largest? angle a, angle b, angle c; angle b, angle a, angle c; angle b, angle c, angle a; angle c, angle a, angle b

Explanation:

Step1: Recall angle - side relationship

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

Step2: Identify side lengths

The side lengths of the triangle are \(12\), \(16\), and \(22\). The shortest side is \(12\), the middle - length side is \(16\), and the longest side is \(22\).

Step3: Match angles to sides

The angle opposite the side of length \(12\) is angle \(B\), the angle opposite the side of length \(16\) is angle \(A\), and the angle opposite the side of length \(22\) is angle \(C\).

Answer:

angle B, angle A, angle C