Question

in △stu, tu = 17, us = 12, and st = 15. which statement about the angles of △stu must be true? answer m∠t < m∠u < m∠s m∠u < m∠s < m∠t m∠s < m∠t < m∠u m∠t < m∠s < m∠u m∠s < m∠u < m∠t m∠u < m∠t < m∠s

Explanation:

Step1: Recall angle - side relationship

In a triangle, the larger the side opposite an angle, the larger the measure of the angle.

Step2: Identify side - angle pairs

In \(\triangle STU\), side \(TU\) is opposite \(\angle S\), side \(US\) is opposite \(\angle T\), and side \(ST\) is opposite \(\angle U\). Given \(TU = 17\), \(US=12\), and \(ST = 15\). Since \(US

Answer:

\(m\angle T < m\angle U