Since DE is parallel to BC, by the Basic Proportionality Theorem (or Thales' theorem), we have:
DBAD=ECAE
Substituting the known values:
46=EC9
Cross-multiplying gives:
6⋅EC=4⋅9
6⋅EC=36
Dividing both sides by 6:
EC=6 cm.
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:
Verified 13 Jul 2026.
7
6.4
6
5.5
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