Question

Give the side lengths in order from least to greatest. The side lengths are LM, MK, LK.

Answer 1

Answer

The order of this lengths from least to greates

MK < LM < LK

Explanation

To answer this, we need to first find the measure of the third angle to know this order.

Sum of angles in a triangle is 180°.

Third angle + 57° + 64° = 180°

Third angle + 121° = 180°

Third angle = 180° - 121°

Third angle = 59°

So, for the lengths of the sides, the length of the side is determined by the angle that is facing that side.

So, the bigger the angle, the bigger the side opposite that angle.

LM - 59°

MK - 57°

LK - 64°

We know that

57° < 59° < 64°

So,

MK < LM < LK

Hope this Helps!!!