Question

If the height of the triangle is $\sqrt{3}$ times of its base, then find the polynomial which represents the area of the triangle.

Answer 1

Let the base of triangle is x

and height of triangle is h

According to question,

$h=$ $\sqrt{3}$$x$

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

$=$ $\frac{1}{2}$$\times$$x\times h$

$=$ $\frac{1}{2}$$\times$$x\times$$\sqrt{3}$$x$

$=$ $\frac{\sqrt{3}{x}^2}{2}$

So required polynomial $=$ $\frac{\sqrt{3}{x}^2}{2}$