Question

put the angles in order from least to greatest for the triangle below. a. ∠l b. ∠k c. ∠m 1. middle = 2. least = 3. greatest =

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

The side lengths are \(LK = 14.2\), \(MK=20.6\), \(ML = 23\).

Step3: Match angles to sides

\(\angle M\) is opposite \(LK\), \(\angle L\) is opposite \(MK\), \(\angle K\) is opposite \(ML\).
Since \(14.2<20.6 < 23\), the angle opposite \(LK\) (\(\angle M\)) is the smallest, the angle opposite \(MK\) (\(\angle L\)) is the middle - sized, and the angle opposite \(ML\) (\(\angle K\)) is the largest.

Answer:

1. Middle = a. \(\angle L\)
2. Least = c. \(\angle M\)
3. Greatest = b. \(\angle K\)