Question

Area of triangle = 24

Answer 1

`x=-2\pm2\sqrt13`

Explanation:

The area of the triangle is;

`A=(1)/(2) * b* h`

`b=x+4`

`h=x`

`Area=A=24`

`A=(1)/(2)*[(x+4)* x] \\24=(x^(2) +4x)/(2) \\24*2=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`