In triangle ABC, points D and E are on AB and AC respectively such that DE is parallel to BC. If AD = 6 cm, DB = 4 cm, AE = 9 cm, then the length of EC (in cm) is

6

The correct answer is Option (3) → 6

Given,

AD = 6 cm,

DB = 4 cm,

AE = 9 cm

We know that,

\(\frac{AD}{DB}\) = \(\frac{AE}{EC}\)

\(\frac{6}{4}\) = \(\frac{9}{x}\)

x = \(\frac{9 × 4}{6}\) = 6cm