Let us take a random triangle we call
for a better understanding of the solution provided here.
A diagram of the
is attached here.
The rule to be applied here is the relationship between the side lengths of a triangle and the angles opposite those sides. This relationship states that:
In a triangle, the shortest side is always opposite the smallest interior angle
and the longest side is always opposite the largest interior angle.
Let us verify this using the diagram attached.
As per the diagram, the smallest interior angle is
and the side opposite to it,
has the smallest side just as the relationship had suggested.
Likewise, the largest interior angle is
and the side opposite to it, LM=45.7 is the longest side just as the relationship had suggested.
This rule/relationship can be applied to any triangle in question.