Question

Question #3cf21

Answer 1

`CE=5.6`cm, and, `BC=3.2`cm.

Explanation:

Observe that line `AB || DE, &, BD` is a transverse.

`:. m/_ABC=m/_ABD=m/_BDE=m/_CDE`.........[Alternate Angles]

Also, `m/_ACB=m/_ECD`...........[Opposite Angles].

Thus, `DeltaABC ~~ DeltaEDC`, by the correspondence,
`ABC harr EDC`

Since the corresponding sides of similar `Delta` are proportionate, we have,

`(AB)/(ED)=(BC)/(DC)=(CA)/(CE) rArr 4/8=(BC)/6.4=2.8/(CE)`

`rArr BC=3.2, &, CE=5.6`