Question

The ratio of the areas of two triangles with the common base is $6:5$. Height of the larger triangle is $9cm$, then find the corresponding height of the smaller triangle.

Answer 1

The ratio of the areas of two triangle with common base $=6:5$
Height of the larger triangle $\left(h_1\right)=9cm$
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]
$\frac{6}{5}=\frac{9}{h_2}$
$h_2=\frac{9\times 5}{6}=7.5cm$