Answer:
a < c < b
Step-by-step explanation:
The sum of the interior angles of a triangle is 180°
Therefore, the measure of the missing angle (opposite side c) is:
180° - 69° - 54° = 57°
Relationship between sides and interior angles of any triangle:
- The shortest side is always opposite the smallest angle
- The longest side is always opposite the largest angle
Therefore, from inspection of the triangle:
- a is opposite the smaller angle of 54°
- c is opposite the angle of 57°
- b is opposite the largest angle of 69°
So the side lengths in increasing order are:
a < c < b
