Question

A, B, C, D, and E are collinear points. AE = 34, BD = 16, and AB = BC =CD. What is the length of CE?

Answer 1

18. Drawn out we know that bc and cd are equal. Bd is 16 so bc and cd are both 8.

Answer 2

CE= 18

Explanation:

A, B, C, D, and E are collinear points

`AE=AB +BC+CD+DE`

BD = 16, and AB = BC =CD

BD=BC+CD, BC =CD

So
`BD= BC+BC`

`16=2BC`

BC= 8

`AB = BC =CD`

AB= 8, BC=8, CD= 8, E= 34

`AE=AB +BC+CD+DE`

`34=8+8+8+DE`

`34=24+DE`, subtract 24 from both sides

DE= 10

`CE= CD+DE`

`CE= 8+10`

CE= 18