Question

In adjoining figure, AP ⊥ BC, AD || BC, then Find A(∆ABC) : A(∆BCD).

Answer 1

Given:
AP ⊥ BC
AD || BC
$$\begin{gathered} \therefore \frac{\mathrm{A}\left(△\mathrm{ABC}\right)}{\mathrm{A}\left(△\mathrm{BCD}\right)}=\frac{\mathrm{AP}\times \mathrm{BC}}{\mathrm{AP}\times \mathrm{BC}} \\ =\frac{1}{1} \end{gathered}$$
Hence, the ratio of A(∆ABC) and A(∆BCD) is 1 : 1.