Using determinants, find the area of the triangle whose vertices are (1, 4), (2, 3) and (-5, -3). Are the given points collinear?

Explanation

We have given vertices of triangle
`(1, 4), (2, 3) and (-5, -3)`

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|(1,4,1),(2,3,1),(-5,-3,1)|`

`=1/2|[1(3+3)−4(2+5)+1(−6+15)]|`

`=15/2`square units

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