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
Answer & explanation
Correct answer: option 3
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