Question

1. give the side lengths in order from least to greatest.

Explanation:

Step1: Find ∠K

The sum of angles in a triangle is $180^\circ$.
$\angle K = 180^\circ - 57^\circ - 64^\circ = 59^\circ$

Step2: Match sides to opposite angles

In a triangle, the shortest side is opposite the smallest angle, and the longest side is opposite the largest angle:

• $\angle L = 57^\circ$ (smallest) → opposite side $KM$
• $\angle K = 59^\circ$ (middle) → opposite side $LM$
• $\angle M = 64^\circ$ (largest) → opposite side $KL$

Answer:

$KM < LM < KL$