Using determinants, find the area of the triangle with vertices (-3, 5), (3, -6) and (7, 2).

Explanation

We have given vertices of triangle
`(-3, 5), (3, -6) and (7, 2)`

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|(-3,5,1),(3,-6,1),(7,2,1)|`

`=1/2|(−3(−6−2)−5(3−7)+1(6+42))|`

`1/2(24+20+48)`

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