Question

In the diagram, BC¯¯¯¯¯∥DE¯¯¯¯¯ .

What is CE ?



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ft

A triangle with vertices labeled as A, B, and C. Side B C is base. Sides A B and A C contain points D and E, respectively. A line segment is drawn from D to E. Side A D is labeled 8 feet. Side D B is labeled 2 feet. Side A E is labeled 4 feet. Base B C and line segment D E are labeled with single arrowhead pointing the same direction.

Answer 1

The length of the line segment CE is 1 foot.

Explanation:

See the diagram attached.

The line segment DE is parallel to line segment BC i.e. DE ║ BC.

So, the line DE will divide AB and AC in the same ratio.

Hence,
`(AD)/(DB) = (AE)/(EC)`

⇒
`(8)/(2) = (4)/(CE)`

⇒ CE = 1 foot.

Therefore, the length of the line segment CE is 1 foot. (Answer)