The area of a triangle with vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) equals (in absolute value):
Ax_1 + x_2 + x_3
B(1/2)|x_1(y_2 − y_3) + x_2(y_3 − y_1) + x_3(y_1 − y_2)|
C|x_1 y_1 + x_2 y_2 + x_3 y_3|
D(1/3)(x_1 + x_2 + x_3)(y_1 + y_2 + y_3)
Answer & Solution
Correct answer: B. (1/2)|x_1(y_2 − y_3) + x_2(y_3 − y_1) + x_3(y_1 − y_2)|
Standard determinant formula for the area of a triangle.
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