Question

in the figure DE parallel BC, AD :DB=2:3 find EC if AE=6cm​

Answer 1

Answer:

answer

9 unit

by basic proportionality theorem

Answer 2

Answer:

EC = 9 cm

Step-by-step explanation:

Refer to the attachment

Given, DE || BC

AD : DB = 2:3 & AE = 6cm

Since DE || BC, By Thales theorem

$\mathsf{\frac{AD}{DB} = \frac{AE}{EC}}$

$\mathsf{\implies\: \frac{2}{3} = \frac{6}{EC}}$

$\mathsf{\implies\: EC = {6 × 3}{2}}$

$\mathsf{\implies \: EC = 9}$