Question
In ΔABC, DE || AC, D and E are two points on AB and CB respectively. If AB = 10 cm and AD = 4 cm, then BE : CE is
Answer: Option D
According to question,
Given :
AB = 10 cm
AD = 4 cm
DE || AC
ΔABC ∼ ΔDBE
$$\eqalign{
& \therefore \frac{{BD}}{{AD}} = \frac{{BE}}{{CE}} \cr
& \,\,\,\,\,\,\frac{{BE}}{{CE}} = \frac{6}{4} \cr
& \,\,\,\,\,\,\frac{{BE}}{{CE}} = \frac{3}{2} \cr
& \,\,\,\,\,\,BE:CE = 3:2 \cr} $$
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According to question,
Given :
AB = 10 cm
AD = 4 cm
DE || AC
ΔABC ∼ ΔDBE
$$\eqalign{
& \therefore \frac{{BD}}{{AD}} = \frac{{BE}}{{CE}} \cr
& \,\,\,\,\,\,\frac{{BE}}{{CE}} = \frac{6}{4} \cr
& \,\,\,\,\,\,\frac{{BE}}{{CE}} = \frac{3}{2} \cr
& \,\,\,\,\,\,BE:CE = 3:2 \cr} $$
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