Question

If AB = 3, AD = 5, and DE = 6, what is the length of ? 3.5 3.6 3.4 4

Answer 1

Option B. 3.6

Explanation:

The given question is incomplete; here is the complete question.

If AB = 3, AD = 5, and DE = 6, what is the length of BC?

3.5

3.6

3.4

4

In the figure attached,

BC║ DE

Triangle ABC and ΔADE are the similar triangles [By AAA property of similar triangles]

By the property of similarity, corresponding sides of the similar triangles will be in the same ratio.

`(AB)/(AD)=(BC)/(DE)`

`(3)/(5)=(BC)/(6)`

BC =
`(18)/(5)`

BC = 3.6

Therefore, Option B. 3.6 will be the answer.