Question 824671
Show that the triangle whose vertices A(3,6) B(-2,-4) and C(-5,2) is a right angeled [sic] triangle. FInd the area of the triangle.
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Find the slope of AC and BC.  If the product of the 2 slopes is -1, they're perpendicular and it's a right triangle.  If not, check the slope of AB and see if its slope is the negative inverse of one of the other 2.