Question

The ratio of the areas of two triangles with the common base in $14:9$. Height of the larger triangle is $7cm$, then find the corresponding height of the smaller triangle

Answer 1

The ratio of the areas of two triangle with common base $=14:9$
Height of the larger triangle $\left(h_1\right)=7cm$
Height of the smaller triangle $\left(h_2\right)=?$
$\frac{\text{Area of larger triangle}}{\text{Area of smaller triangle}}=\frac{h_1}{h_2}[\because$ triangles have common base]
$\frac{14}{9}=\frac{7}{h_2}$
$h_2=\frac{7\times 9}{14}=4.5cm$