Question

In a parallelogram $ABCD$, $AB=10cm$. The altitudes corresponding to the sides $AB$ and $AD$ are respectively $7cm$ and $8cm$. Find $AD$.

Answer 1

Using the formula of area of parallelogram, we have

Area of parallelogram $=$ Base $\times$ height

$AB\times DM=AD\times BN$

$\Rightarrow 10\times 7=AD\times 8$

$\Rightarrow AD=\frac{70}{8}=8.75cm$