In Δ ABC, if DE ∥ BC, then which of the following is stated by Basic Proportionality Theorem?
A
ADDB=AEEC
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B
ABDB=AEEC
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C
ADDB=ACEC
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D
ABDB=ECAC
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Solution
The correct option is AADDB=AEEC Basic Proportionality Theorem says that if DE ∥ BC, the ratio in which point D divides AB is the same as the ratio in which point E divides AC.
The ratio in which D divides AB is given by ADDB. Similarly, the ratio in which E divides AC is given by AEEC ⇒ADDB=AEEC