Use a determinant and the given vertices of a triangle to find the area of the triangle. ?
(-2,4), (2,5), (6,-4)
?
A) $\frac { 6 } { 19 }$
B)20
C) $\frac { 5 } { 17 }$
D)-20
E)40

Question

Quizplus · Accepted Answer

The area of a triangle given its vertices $(x_1, y_1), (x_2, y_2), (x_3, y_3)$ can be calculated using the formula: $\frac{1}{2} |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|$. Substituting the given points (-2,4), (2,5), and (6,-4) into this formula yields an area of 20.

Use a Determinant and the Given Vertices of a Triangle 619\frac { 6 } { 19 }196​

Use a Determinant and the Given Vertices of a Triangle $\frac { 6 } { 19 }$