Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

in \\( \\triangle lmn, mn = 8, nl = 13 \\), and \\( lm = 9 \\). which s…

Question

in \\( \triangle lmn, mn = 8, nl = 13 \\), and \\( lm = 9 \\). which statement about the angles of \\( \triangle lmn \\) must be t
answer
\\( \bigcirc m\angle l>m\angle n>m\angle m \\) \\( \bigcirc m\angle l>m\angle m>m\angle n \\)
\\( \bigcirc m\angle n>m\angle m>m\angle l \\) \\( \bigcirc m\angle n>m\angle l>m\angle m \\)
\\( \bigcirc m\angle m>m\angle l>m\angle n \\) \\( \bigcirc m\angle m>m\angle n>m\angle l \\)

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the larger side is opposite the larger angle.

Step2: Compare the side lengths

Given \(MN = 8\), \(NL=13\), \(LM = 9\). So \(NL>LM>MN\).

Step3: Determine the angle order

Since \(NL\) is opposite \(\angle M\), \(LM\) is opposite \(\angle N\), and \(MN\) is opposite \(\angle L\). So \(m\angle M>m\angle N>m\angle L\).

Answer:

\(m\angle M > m\angle N > m\angle L\)