Question

Determine a área de cada triângulo cujos vértices são:

(3,2), (1,5) e (7,4)
​

Answer 1

Resposta:

A = 8

Explicação passo-a-passo:

$A=\frac{1}{2}\left|\begin{array}{cccc}3&1&7&3\\2&5&4&2\\\end{array}\right|\\\\A=\frac{1}{2}|3.5+1.4+7.2-2.1-5.7-4.3|\\\\A =\frac{1}{2}|15+4+14-2-35-12|\\\\A=\frac{1}{2}|33-49|\\\\A = \frac{1}{2}|-16|\\\\A= \frac{1}{2}.16\\\\A=8$