Question

question in △rst, m∠r = 44° and m∠s = 98°. which list has the sides of △rst in order from longest to shortest? answer attempt 3 out of 3 tr, st, rs tr, rs, st rs, st, tr st, tr, rs st, rs, tr rs, tr, st

Explanation:

Step1: Find angle T

The sum of angles in a triangle is 180°. So, $m\angle T=180^{\circ}-(m\angle R + m\angle S)=180^{\circ}-(44^{\circ}+98^{\circ}) = 38^{\circ}$.

Step2: Recall angle - side relationship

In a triangle, the longest side is opposite the largest angle and the shortest side is opposite the smallest angle.
Since $m\angle S>m\angle R>m\angle T$, the side opposite $\angle S$ (which is $RT$), the side opposite $\angle R$ (which is $ST$) and the side opposite $\angle T$ (which is $RS$). So the order of sides from longest to shortest is $RS, TR, ST$.

Answer:

RS, TR, ST