Question

the length of each side of triangle lmn is shown below.

• lm = 18 cm
• mn = 29 cm
• ln = 20 cm

which list shows the angles of triangle lmn in order from least measure to greatest measure?
o ∠m, ∠n, ∠l
o ∠l, ∠m, ∠n
o ∠n, ∠l, ∠m
o ∠n, ∠m, ∠l

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 shortest and longest sides

The shortest side is $LM = 18$ cm, the longest side is $MN=29$ cm, and $LN = 20$ cm.

Step3: Determine angles

The angle opposite $LM$ is $\angle N$, the angle opposite $MN$ is $\angle L$, and the angle opposite $LN$ is $\angle M$. So the order of angles from least to greatest is $\angle N,\angle M,\angle L$.

Answer:

$\angle N,\angle M,\angle L$