A triangle has vertices at (2, 3), (½ , –2), and (– 3, 2). What is the area of the triangle? please show me the steps. use determinants.

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A triangle has vertices at (2, 3), (½ , –2), and (– 3, 2). What is the area of the triangle? please show me the steps. use determinants.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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| x1 y1 1| |x2 y2 1|* +/- 1/2 |x3 y3 1| Is the formula to find the area of triangle using determinants. Put the values: |2 3 1| |1/2 -2 1| |-3 2 1| Expand using 1st row, 2(-2-2)-3(1/2+3)+1(1-6) -8-3(7/2)+1(-5) -1/2(-8-21/2-5) -1/2(-13-21/2) -1/2(-47/2) 47/4 square units. is your answer. NOTE: We are writing +1/2 or -1/2 because we need the final answer in +ve if it is -ve inside bracket, then we multiply by -1/2 to get positive answer and if not, +1/2. Hope this helps!
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