Use a determinant and the given vertices of a triangle to find the area of the triangle. ?
(0,-3), (-3,3), (4,4)
?
A) $\frac { 4 } { 7 }$
B) $\frac { 5 } { 11 }$
C) $\frac { 45 } { 2 }$
D) $\frac { 4 } { 19 }$
E)45

Question

Quizplus · Accepted Answer

Using the determinant method, we have:
$$\frac{1}{2} \begin{vmatrix}
0 & -3 & 1 \
-3 & 3 & 1 \
4 & 4 & 1 \
\end{vmatrix} = \frac{1}{2}(12-(-12)) = 12$$
Therefore, the area of the triangle is 12 square units. The correct answer is C.

Use a Determinant and the Given Vertices of a Triangle 47\frac { 4 } { 7 }74​

Use a Determinant and the Given Vertices of a Triangle $\frac { 4 } { 7 }$