Question

list the side lengths of $\triangle rst$ in order from shortest to longest, given that $m\angle r = 34^\circ$, $m\angle t = 46^\circ$, and $m\angle s = 100^\circ$. \\(\square < \square < \square\\) submit

Explanation:

Step1: Match angles to opposite sides

In $\triangle RST$:

• $\angle R$ (34°) is opposite side $ST$
• $\angle T$ (46°) is opposite side $RS$
• $\angle S$ (100°) is opposite side $RT$

Step2: Order angles by size

$34^\circ < 46^\circ < 100^\circ$, so $m\angle R < m\angle T < m\angle S$

Step3: Relate to side lengths

In a triangle, shorter sides are opposite smaller angles.

Answer:

$ST < RS < RT$