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D is the midpoint of side AB of triangle ABC, and DE || BC meets AC at E. If BC = 12 cm, find DE (in cm).

Class 10Basic Proportionality TheoremGeometry — Similarity

A12
B7
C6
D5

Step-by-Step Solution

D

is midpoint, so

\frac{A D}{A B} = \frac{1}{2}

; triangle

A D E

~

A BC

gives

\frac{D E}{BC} = \frac{1}{2}, D E = 6

cm (midpoint theorem case of BPT).

Answer: C) 6

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