Question

The ratio of the area of two triangles with the common base is $4:3$. Height of the larger triangle is $2cm$, then find the corresponding height of the smaller triangle.

Answer 1

The ratio of the areas of two triangle with common base $=4:3$
Height of the larger triangle $\left(h_1\right)=2cm$
Height of the smaller triangle $\left(h_2\right)=?$

$\frac{\text{Area of larger triangle}}{\text{Area of smaller triangle}}=\frac{h_1}{h_2}$

$\frac{4}{3}=\frac{2}{h_2}$

$h_2=\frac{4\times 3}{4}$

$h_2=3$