If |(x(1),y(1),1),(x(2),y(2),1),(x(3),y(...

If `|(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)|=|(a_(1),b_(1),1),(a_(2),b_(2),1),(a_(3),b_(3),1)|`, then the two triangles with vertices `(x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3))` and `(a_(1),b_(1)),(a_(2),b_(2)),(a_(3),b_(3))` must be

both right angles

both equilateral

congruent

Equal in Area

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