Question

Um triângulo pelos pontos A=(0,3), B=(-3,-1), C=(-1, -4). Qual a área desse triângulo?
urgente por favor

Answer 1

$\huge\mathtt{M=\begin{vmatrix}0&3&1\\-3&-1&1\\-1&4&1\end{vmatrix}}$

$\mathtt{det~M=-3(-3+1)+1(-12-1)}\\\mathtt{det~M=6-13=-7}$

$\mathtt{A=\dfrac{1}{2}.|det~M|}$

$\mathtt{A=\dfrac{1}{2}.|-7|}$

$\huge\boxed{\boxed{\mathtt{A=\dfrac{7}{2}~u.a}}}$