Question

value: 5
put the angles in the triangle below in order from least to greatest
o a. ∠s, ∠t, ∠r
o b. ∠r, ∠s, ∠t
o c. ∠t, ∠s, ∠r
o d. ∠s, ∠r, ∠t

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 are \(ST = 17\), \(SR=18\), and \(TR = 12\).

Step3: Determine angle order

The shortest side is \(TR = 12\), and the angle opposite it is \(\angle S\). The next - shortest side is \(ST = 17\), and the angle opposite it is \(\angle R\). The longest side is \(SR = 18\), and the angle opposite it is \(\angle T\). So the angles in order from least to greatest are \(\angle S,\angle R,\angle T\).

Answer:

d. \(\angle S,\angle R,\angle T\)