Question

1-dado o triângulo abc conforme o esquema abaixo.

com base nas informações calcule o perimetro e a área desse triângulo​

Answer 1

$\boxed{\begin{array}{l}\sf tg(45^\circ)=\dfrac{3}{AB}\\\sf1=\dfrac{3}{AB}\\\sf AB=3\\\sf sen(45^\circ)=\dfrac{AC}{BC}\\\sf\dfrac{\sqrt{2}}{2}=\dfrac{3}{BC}\\\sf\sqrt{2}BC=6\\\sf BC=\dfrac{6}{\sqrt{2}}\\\sf BC=\dfrac{6\sqrt{2}}{2}\\\sf BC=3\sqrt{2}\\\sf p=3+3+3\sqrt{2}\\\sf p=3(2+\sqrt{2})\\\sf A=\dfrac{3\cdot3}{2}=\dfrac{9}{2}=4,5\end{array}}$