Using determinants, find the area of the triangle whose vertices are `(5,\ 4)`,`(-2,\ 4), and \ \ (2,\ -6)` . Are the given points collinear?

Explanation

We have given vertices of triangle
` (5,\ 4),\(-2,\ 4)`
and ` (2,\ -6)`

Then we have to find area of triangle

Now as we know that

Area of triangle=`1/2|(x_1,y_1,1),(x_2,y_2,1),(x_3,y_3,1)|`

`=1/2|(-2,4,1),(2,-6,1),(5,4,1)|`

Now apply `R_2->R_2-R_1,R_3->R_3-R_1`

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