Question

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

Answer 1

Let base of the triangle $=5x$ and height $=3x$
Area of triangle $=\frac{1}{2}\times base\times height$
$67.5=\frac{1}{2}\times 5x\times 3x=>x^2=9$
$x=3$
Hence, base $=5x=15m$ and height $=3x=9m$