Question

Sabendo que os pontos A (-4,3),B (2,-1) e C (p, 2) formam um triângulo cuja a área é 11 m.a. Determine o valo de p.

Answer 1

Resposta:

Explicação passo-a-passo:

$\frac{1}{2}* \left|\begin{array}{cccc}-4&2&p&-4\\3&-1&2&3\\\end{array}\right|=11\\\\\left|\begin{array}{cccc}-4&2&p&-4\\3&-1&2&3\\\end{array}\right|=22\\\\|4+4+3p-6+p+8|=22\\\\|4p+10|=22\\\\4p+10=22\\\\4p=12\\\\p=\frac{12}{4}\\\\ p=3\\ou\\4p-10=22\\\\4p=32\\\\p=\frac{32}{4}\\\\p=8\\\\ Resp.\:p=3\:ou\:p=8$