Question

The base and the height of a triangle are in the ratio 5 : 3. If the area of the triangle is $67.5m^2$; find its base and height

Answer 1

Let base =5x m

height =3x m

Area of $\Delta =\frac{1}{2}$ base $\times$ height

$\therefore \frac{1}{2}\times 5x\times 3x=67.5$

$x^2=\frac{67.2\times 2}{15}$

$x^2=4.5\times 2$

$x^2=9.0$

$x=\sqrt{9}$

x =3

$\therefore$ base $=5x=5\times 3=15m$

height $=3x=3\times 3=9m$

$\therefore$ 15m; 9m