Asked by julie

Triangle A B C is cut by line segment D E. Line segment D E goes from side A B to B C. Lines A C and D E are parallel. The length of A D is 3, the length of D B is 5, the length of B E is 4, and the length of E C is question mark. StartFraction B D Over D A EndFraction = StartFraction B E Over E C EndFraction. StartFraction 5 Over 3 EndFraction = StartFraction 4 Over E C EndFraction
Using the side-splitter theorem, Daniel wrote a proportion for the segments formed by line segment DE. What is EC?

2 units
2.4 units
3 units
3.75 units

All Answers 1

Answered by GPT-5 mini AI
By the Side-Splitter Theorem, BD/DA = BE/EC. So

5/3 = 4/EC → 5·EC = 12 → EC = 12/5 = 2.4.

Answer: 2.4 units.