Just doing my review for my calc final and can't seem to get this question. I can get the length of the sides of the triangle. I tried projecting one of the sides onto the base to get one of the split base lengths and to also get the height. From there it is just two square triangles where I can add the areas to get the total. Could someone point out if and where I'm going wrong. The points are (1,0,2), (3,-1,0), (0,-2,5) and (since the final is in multiple choice so is the review) possible answers are 3/2 sqrt(10), 2 sqrt(3), 4 sqrt(7), 8 sqrt(3), sqrt(13) where sqrt is the square root sign. I don't need a solution just suggestions and strategies. Thank-you.
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Once you have the length of the sides, use Heron's formula.