Question

In triangle LMN, if angle L is 96° and angle M is 63°, which list has the sides of triangle LMN in order from longest to shortest?

1) LM > MN > LN
2) MN > LN > LM
3) LN > LM > MN
4) Cannot be determined

Answer 1

In triangle LMN, the order of the sides from longest to shortest cannot be determined based on the given information.

Step-by-step explanation:

In triangle LMN, angle L is 96° and angle M is 63°. To determine the order of the sides from longest to shortest, we can use the fact that the largest angle is opposite the longest side. Since angle L is the largest, side LM is the longest. Since angle M is smaller than angle L, side MN is shorter than LM. Therefore, the correct order is LM > MN. However, we cannot determine the relative lengths of LN as it is not mentioned in the given information. So, the correct answer is 4) Cannot be determined.