SSC CHSL 2022 PYQ — Question 52

The correct answer is option 1 i.e. 9 ∶ 17

Given:

AD ∶ DB = 9 ∶ 8

Concept USed:

In a triangle ABC, if DE ‖ BC

then, ${AD \over AB} = {DE \over BC} = {AE \over AC}$    ...(i)

Explanation:

According to the given question,

Let the sides AD and DB of the given triangle be 9x and 8x respectively.

So, AB = 9x + 8x = 17x

Now, putting the value in the equation (i), we get

${9x \over 17x} = {DE \over BC}$

⇒ DE : BC = 9 : 17

Hence the required answer is 9 : 17.