Question

Arrange the sides of ΔABC in ascending order of their lengths.

Answer 1

In a triangle, the relative lengths of sides are determined by the relative sizes of the opposite angles:

• The largest side is opposite the largest angle.
• The smallest side is opposite the smallest angle.
• The middle side is opposite the middle angle.

Here, based on your given:

AC < AB < BC

This implies:

∠B is the largest angle (opposite the largest side AC).

∠C is the smallest angle (opposite the smallest side AB).

∠A is the middle angle (opposite side BC).

Final ordering of sides (Ascending): AC < AB < BC