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 the triangle side - angle relationship

In a triangle, the larger the side length, the larger the angle opposite it.

Step2: Identify the side lengths

The side lengths are \(AC = 12\), \(BC=16\), \(AB = 22\).

Step3: Determine the angles opposite the sides

Angle \(B\) is opposite \(AC\), angle \(A\) is opposite \(BC\), and angle \(C\) is opposite \(AB\).
Since \(12<16<22\) (i.e., \(AC < BC

Answer:

angle B, angle A, angle C