Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question in △rst, st = 2, tr = 10, and rs = 9. which list has the angle…

Question

question
in △rst, st = 2, tr = 10, and rs = 9. which list has the angles of △rst in order from largest to
smallest?
answer
○ m∠r, m∠s, m∠t
○ m∠t, m∠r, m∠s
○ m∠t, m∠s, m∠r
○ m∠s, m∠r, m∠t
○ m∠s, m∠t, m∠r
○ m∠r, m∠t, m∠s
submit answer
watch video

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the larger the side length, the larger the angle opposite it.

Step2: Compare the side lengths

Given \(ST = 2\), \(RS=9\), \(TR = 10\). So, \(ST

Step3: Determine the angles opposite the sides

Let \(\angle R\) be opposite \(ST\), \(\angle T\) be opposite \(RS\), and \(\angle S\) be opposite \(TR\).
Since \(ST

Answer:

\(m\angle S\), \(m\angle T\), \(m\angle R\)