Final answer:
To find the order of sides from longest to shortest in ΔCDE, we can determine the third angle, m∠E, by subtracting the given angles from 180°. With m∠E calculated as 125°, we order the sides opposite to angles E, D, and C, giving us the order: CE, DE, CD.
Step-by-step explanation:
The question involves determining the order of the sides of ΔCDE from longest to shortest, given the interior angles.
Since the sum of interior angles in a triangle is always 180°, we can find the third angle by subtracting the given angles from 180°:
m∠E = 180° - m∠C - m∠D = 180° - 26° - 29° = 125°
The side opposite the largest angle is the longest, and the side opposite the smallest angle is the shortest.
Hence, the sides opposite to angles E, D, and C will be ordered from longest to shortest.
So the sides will be ordered: CE (opposite to angle D), DE (opposite to angle C), and CD (opposite to angle E).