84,093 views
15 votes
15 votes
Triangle a b c is cut by line segment d e. line segment d e goes from side a c to line a b. the length of a e is 12, the length of e b is 4, and the length of a d is 9. what is the length of line segment d c? 2 units 3 units 6 units 9 units

User LaTeX
by
2.4k points

2 Answers

12 votes
12 votes

Answer:

3 Units

Explanation:

Triangle a b c is cut by line segment d e. line segment d e goes from side a c to-example-1
User Max MacLeod
by
2.9k points
15 votes
15 votes

Answer: 3 units

Explanation:

By the triangle proportionality theorem,


(12)/(4)=(9)/(x) \\ \\ 3=(9)/(x) \\ \\ x=\boxed{3}

Triangle a b c is cut by line segment d e. line segment d e goes from side a c to-example-1
Triangle a b c is cut by line segment d e. line segment d e goes from side a c to-example-2
User Usual Me
by
3.2k points