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11. Observe the picture and answer the questions

Kumar and Akhil work at the same office. They start for 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 office form a triangular shape, as shown below.

1. If

$AE =$ 5

$kms$ ,

$EC =$ 2

$kms$ and

$DB =$ 6

$kms$ , then the length of

$AD$ is

$kms$ .

2. If

$AD =$ 5

$kms$ ,

$AE =$ 15

$kms$ and

$AC =$ 24

$kms$ , then the length of

$AB$ is

$kms$ .

3. The perimeter of two similar triangles

$ABC$ and

$ADE$ are 37

$kms$ and 19

$kms$ . If one side of

$\triangle ABC$ is 8

$km$ , then the corresponding side of

$\triangle ADE$ is

$kms$ .

4. If

$\angle ADE = 48^{\circ}$ and

$\angle C = 80^{\circ}$ , then the measure of

$\angle A$ is

$50^{°}$
$54^{°}$
$51^{°}$
$52^{°}$

5. Is

$DE \parallel BC$ if

$AD = 15 \ kms$ ,

$AE =$ 5

$kms$ ,

$EC =$ 2

$kms$ and

$DB =$ 6

$kms$ ?

$1$

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11. Observe the picture and answer the questions

Exercise condition: