Question

BC¯¯¯¯¯ is parallel to DE¯¯¯¯¯.

What is CE?



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_?_ units

Answer 1

Answer: 10

Explanation:

Answer 2

Here we shall use basic Proportionality theorem.

The ratio of the intercepts formed by two transversals for three parallel lines are in the same proportion.

As BC || CD

By Basic Proportionality theorem we get

`(AB)/(BD) =(AC)/(CE)`

Here AB = 15, BD = 6, AC = 25

Substituting the values we get

`(15)/(6)(25)/(CE)`

Cross multiplying we get

15 CE = 25 × 6

15 CE = 150

Dividing by 15 on both sides

CE = 10 Units

Hence the length of CE = 10 units.