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 $MK = 20.6$, $KL=14.2$, and $ML = 23$. The shortest side is $KL = 14.2$, the middle - length side is $MK=20.6$, and the longest side is $ML = 23$.

Step3: Determine angles

The angle opposite $KL$ is $\angle M$, the angle opposite $MK$ is $\angle L$, and the angle opposite $ML$ is $\angle K$. So the smallest angle is $\angle M$, the middle - sized angle is $\angle L$, and the largest angle is $\angle K$.

Answer:

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