Answer:x=1.5
Step-by-step explanation:
Given
Two points co-ordinates are given
A=(5,-8)
B=(5,4)
let other point be C =(x,y)
Area of triangle is given by
[tex]A=\begin{vmatrix}5& -8&1\\5& 4&1\\x& y&1\end{vmatrix}[/tex]
[tex]A=5\left ( 4-y\right )+8\left ( 5-x\right )+1\left ( 5y-4x\right )[/tex]
A=20-5y+40-8x+5y-4x
A=60-8x
and A=48 square unit
48=60-8x
x=1.5
As area is independent of y therefore at x=1.5 any value of y will give area of 48 square unit
