Question

given △rst, where rs = 17, st = 21, and rt = 18, which of the following orders the angles from least to greatest? a ∠t, ∠r, ∠s b ∠r, ∠s, ∠t c ∠r, ∠t, ∠s d ∠t, ∠s, ∠r

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

We have $RS = 17$, $RT=18$, and $ST = 21$. So, $RS

Step3: Determine angle order

The angle opposite $RS$ is $\angle T$, the angle opposite $RT$ is $\angle S$, and the angle opposite $ST$ is $\angle R$. So, $\angle T<\angle S<\angle R$.

Answer:

D. $\angle T,\angle S,\angle R$