Question

What is the length of DC?
O 2 units
O 3uníts
O 6uníts
O 9 unit

Answer 1

The correct option is;

3 units

Explanation:

From the given figure, we have that segment DE is parallel to segment CB of triangle ABC

According to triangle proportionality theorem we have that segment DE which is parallel to segment CB of triangle ABC, divides the other two sides the triangle ABC proportionally

We have;

`\overline {DC}`/
`\overline {AD}`=
`\overline {EB}`/
`\overline {AE}`

`\overline {DC}`/9 = 4/12

`\overline {DC}`= 9 × 4/12 = 3

`\overline {DC}`= 3 units

The length of the segment DC = 3 units.