Question

Area of triangle = 24

Answer 1

Answer:

$x=-2\pm2\sqrt13$

Step-by-step explanation:

The area of the triangle is;

$A=\frac{1}{2} \times b\times h$

$b=x+4$

$h=x$

$Area=A=24$

$A=\frac{1}{2}\times[(x+4)\times x] \\24=\frac{x^{2} +4x}{2} \\24\times2=x^{2} +4x\\48=x^{2} +4x\\x^{2} +4x-48=0$

This can only be solved by the quadratic formula.

$x=\frac{-b\pm\sqrt {b^{2}-4ac }}{2a}$

where;

$a=1\\b=4\\c=-48$

and we get,

$x=-2\pm2\sqrt13$