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Side AC of triangle ABC is 16 cm, and DE is parallel to BC. If AD = 3 cm and DB = 5 cm, find AE (in cm).

Class 10Basic Proportionality TheoremGeometry — Similarity

A6
B12
C7
D5

Step-by-Step Solution

\frac{A D}{D B} = \frac{A E}{EC}

. Let

A E = x, EC = 16 - x

. So

\frac{3}{5} = \frac{x}{16 - x}, 48 - 3 x = 5 x, 8 x = 48, x = 6

cm.

Answer: A) 6

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