Use determinants to find the area of the triangle with vertices at the given points. P(0, 0), Q(20, 0), R(20, 6)
A)A = 120
B)A = 20
C)A = 60
D)A = 6
E)none of these

Question

Quizplus · Accepted Answer

The area of a triangle given vertices $P(x_1, y_1)$, $Q(x_2, y_2)$, and $R(x_3, y_3)$ can be found 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, $P(0, 0)$, $Q(20, 0)$, and $R(20, 6)$, we get $\frac{1}{2} |0(0 - 6) + 20(6 - 0) + 20(0 - 0)| = \frac{1}{2} |0 + 120 + 0| = 60$.

Use Determinants to Find the Area of the Triangle with Vertices