Question

list the angles of the triangle in order from smallest to largest.
△abc, where cb = 7, ab = 8, and ac = 3
choose the correct order of the angles from smallest to largest.
o a. ∠a, ∠b, ∠c
o b. ∠c, ∠a, ∠b
o c. ∠b, ∠a, ∠c
o d. ∠b, ∠c, ∠a
o e. ∠a, ∠c, ∠b
o f. ∠c, ∠b, ∠a

Explanation:

Step1: Recall the triangle side - angle relationship

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

Step2: Order the side lengths

Given \(AC = 3\), \(CB=7\), \(AB = 8\). So, \(AC

Step3: Determine the angles opposite the sides

\(\angle B\) is opposite \(AC\), \(\angle A\) is opposite \(CB\), \(\angle C\) is opposite \(AB\)

Step4: Order the angles

Since \(AC

So the order from smallest to largest is \(\angle B,\angle C,\angle A\)

Answer:

D. \(\angle B, \angle C, \angle A\)