Question

in \\( \triangle qrs, rs = 9, sq = 11, \\) and \\( qr = 7 \\). which list has the angles of \\( \triangle qrs \\) in order from smallest to largest?
answer
\\( m\angle r, m\angle q, m\angle s \\)
\\( m\angle s, m\angle q, m\angle r \\)
\\( m\angle r, m\angle s, m\angle q \\)
\\( m\angle q, m\angle r, m\angle s \\)
\\( m\angle s, m\angle r, m\angle q \\)
\\( m\angle q, m\angle s, m\angle r \\)

Explanation:

Step1: Recall the triangle side - angle relationship

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

Step2: Order the side lengths

Given \(RS = 9\), \(SQ=11\), \(QR = 7\). Order of side lengths: \(QR

Step3: Determine the order of angles

Angle opposite \(QR\) is \(\angle S\), angle opposite \(RS\) is \(\angle Q\), angle opposite \(SQ\) is \(\angle R\). So, \(m\angle S

Answer:

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