Question

BC¯¯¯¯¯ is parallel to DE¯¯¯¯¯.

Answer 1

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

$\frac{AB}{BD} =\frac{AC}{CE}$

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

Substituting the values we get

$\frac{15}{6}\frac{25}{CE}$

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.

Answer 2

The answer is 3.6 I hope this is right