Question

Qual a área do triângulo ? ajudem pfv

Answer 1

base x altura dividido por 2 q da 35 cm quadrados

Answer 2

$\boxed{\begin{array}{c}\frak{Os~v\acute{e}rtices~do~tri\hat{a}ngulo~s\tilde{a}o~A(-5,2)~B(2,7)~e~C(5,-3)}\\\frak{Designando~por~M~o~determinante~formado~pelos~v\acute{e}rtices~do~tri\hat{a}ngulo~temos:}\end{array}}$

$\frak{M}=\begin{vmatrix}-5&2&1\\2&7&1\\5&-3&1\end{vmatrix}\\\frak{det~M=-5\cdot(7+3)-2\cdot(2-5)+1\cdot(-6-35)}\\\frak{det~M=-50+6-41=-85}$

$\boxed{\begin{array}{c}\frak{A~\acute{a}rea~do~tri\hat{a}ngulo~\acute{e}~dada~por:}\end{array}}$

$\frak{A=\dfrac{|det~M}{2}}\\\frak{A=\dfrac{|-85|}{2}}\\\huge\boxed{\boxed{\boxed{\boxed{\frak{A=\dfrac{85}{2}~u\cdot a}}}}}$