Question

06. QUESTÃO - A área do triângulo, cujos vértices são (1, 2), (3, 4) e (4, -1), é igual a:

Answer 1

Olá !

Resolução :

$\left(\begin{array}{ccc}1&2&1\\3&4&1\\4&-1&1\end{array}\right\left)\begin{array}{ccc}1&2&\\3&4&\\4&-1&\end{array}\right$

$\mathsf{-----------------------------------------}$

$\mathsf{ Det = 4 + 8 - 3 - 16 + 1 - 6} \\\\\\ \mathsf{ Det = 12 - 3 - 16 + 1 - 6} \\\\\\ \mathsf{ Det = 9 - 16 + 1 - 6} \\\\\\ \mathsf{ Det = -7 + 1 - 6} \\\\\\ \mathsf{ Det = -6 - 6} \\\\\\ \mathsf{ Det =-12}$

$\mathsf{-----------------------------------------}$

$\mathsf{ A =\dfrac{|Det|}{2}} \\\\\\ \mathsf{ A =\dfrac{|-12|}{2}} \\\\\\ \mathsf{ A = 6~~u.a}$

Resposta :

$\mathsf{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{~~A~~area~~e~~6~~u.a}}}}}}}}}}}}$