Question

which shows the side lengths in order from longest to shortest? a b 45° 55° c o a, b, c o c, b, a o b, a, c o c, a, b

Explanation:

Step1: Find the third - angle

The sum of angles in a triangle is 180°. Let the third angle be $x$. Then $x=180-(45 + 55)=80^{\circ}$.

Step2: Recall the angle - side relationship

In a triangle, the side opposite the largest angle is the longest and the side opposite the smallest angle is the shortest. The angles are $80^{\circ}$, $55^{\circ}$, $45^{\circ}$ in descending order. The sides opposite these angles are $c$, $a$, $b$ respectively.

Answer:

c, a, b