Answer: BE = 4
Let BE = x, then EC = 6.4 − x.
In \(\triangle ABC\), DE ∥ AB, so by the basic proportionality theorem,
\[\frac{CD}{DA} = \frac{CE}{EB}\] \[\frac{3}{5} = \frac{6.4 - x}{x}\] \[3x = 32 - 5x\] \[8x = 32,\quad x = 4\]1 answer
Doubtly AI
· 24 Oct 2026
AI-verified · Oct 2026
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