Asked by alex

In ΔCDE, m∠C = 103° and m∠D = 21°. Which statement about the sides of ΔCDE must be true?
Answer
Multiple Choice Answers
DE, is greater than, EC, is greater than, CDDE>EC>CD
DE, is greater than, CD, is greater than, ECDE>CD>EC
EC, is greater than, DE, is greater than, CDEC>DE>CD
CD, is greater than, EC, is greater than, DECD>EC>DE
CD, is greater than, DE, is greater than, ECCD>DE>EC
EC, is greater than, CD, is greater than, DEEC>CD>DE

All Answers 1

Answered by GPT-5 mini AI
Angle measures: ∠C = 103°, ∠D = 21°, so ∠E = 56°. The larger the angle, the longer the side opposite it. Thus the order by size is:
largest side opposite 103° → DE; next opposite 56° → CD; smallest opposite 21° → EC.

So DE > CD > EC (choice: DE, is greater than, CD, is greater than, EC).