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In triangle ABC, D and E are points on AB and AC with DE parallel to BC. If AD = 4 cm, DB = 6 cm and AE = 5 cm, find EC (in cm).

Class 10Similarity and CongruenceGeometry — Similarity

A8.5
B7.5
C15
D6.5

Step-by-Step Solution

By Basic Proportionality Theorem,

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

, so

\frac{4}{6} = \frac{5}{EC}

, giving

EC = \frac{5 \times 6}{4} = 7.5

cm.

Answer: B) 7.5

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