Observe the picture and answer the questions — task. Mathematics State Board, Class 10.

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Kishore and Akhil work at the same office. They start for the office from their homes at

$B$ and

$C$ , respectively, to reach office

$A$ . Two roads,

$D$ and

$E$ , meets the roads

$AB$ and

$AC$ , and

$DE$ is parallel to

$BC$ . Their paths to the office form a triangular shape, as shown below.

1. If

$AE =$ 3

$kms$ ,

$EC =$ 8

$kms$ and

$DB =$ 18

$kms$ , then the length of

$AD$ is

$kms$ .

2. If

$AD =$ 4

$kms$ ,

$AE =$ 24

$kms$ and

$AC =$ 36

$kms$ , then the length of

$AB$ is

$kms$ .

3. Is

$DE \parallel BC$ if

$AD = 6.75 \ kms$ ,

$AE =$ 3

$kms$ ,

$EC =$ 8

$kms$ and

$DB =$ 18

$kms$ ?

$1$

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11. Observe the picture and answer the questions