Question

list the angles of the triangle in order from smallest to largest.
△abc, where ba = 6, ca = 7, and cb = 4

choose the correct order of the angles from smallest to largest.
○ a. ∠b, ∠c, ∠a
○ b. ∠c, ∠a, ∠b
○ c. ∠a, ∠b, ∠c
○ d. ∠b, ∠a, ∠c
○ e. ∠a, ∠c, ∠b
○ 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: Compare the side lengths

We have \(CB = 4\), \(BA=6\), and \(CA = 7\). So, \(CB

Step3: Determine the angles opposite the sides

\(\angle A\) is opposite \(CB\), \(\angle C\) is opposite \(BA\), and \(\angle B\) is opposite \(CA\).
Since \(CB

Answer:

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