Question

If in the given figure, DE || BC.

If AD = 2.8 cm, DB = 21 cm and EC = 4.8 cm, then the value of x is ______.

Options

• 3.6 cm

• 2.4 cm

• 6.4 cm

• 4.8 cm

Answer 1

If in the given figure, DE || BC.

If AD = 2.8cm, DB = 21cm and EC = 4.8cm, then the value of x is 6.4 cm.

Explanation:

Given, DE || BC,

∴ `(AD)/(DB) = (AE)/(EC)`  ...[by Thales theorem]

∴ `2.8/2.1 = x/4.8`

∴ x = `(2.8 xx 4.8)/2.1`

∴ x = 6.4

Hence, the value of x is 6.4 cm.