Question

In the figure given below AN and CP are perpendiculars to the diagonal BD of a parallelogram. Which of the following options is correct?

• A. AN=CP
• B. AN > CP
• C. AN < CP
• D. None of these

Answer 1

The correct option is A AN=CP

Area of $\Delta ABD=$ Area of $\Delta ABD$ [diagonal of a $\parallel$gm divides it into two triangles of equal areas)
$\Rightarrow \frac{1}{2}(BD\times AN)=\frac{1}{2}(PC\times BD)$
Cancelling common terms on each side,
$\Rightarrow AN=CP$