Question

If D and E are points on sides AB and AC respectively of $△$ABC such that ar ($△$DBC) = ar ($△$EBC), then DE $\parallel$ BC.

• A. True
• B. False

Answer 1

The correct option is A

True

Since $△$BCE and $△$BCD are lying on a common base BC and have equal areas, $△$BCE and $△$BCD will lie between the same parallel lines.

$\therefore$DE $\parallel$ BC