Question

Dado o triângulo retângulo ABC, calcular a medida do lado AC.
A)1cm
B)15cm
C)10cm
D)20cm​

Answer 1

$\small\boxed{\begin{array}{l}\underline{\sf Teorema\,de\,Pit\acute agoras}\\\rm Em\,todo\,tri\hat angulo\,ret\hat angulo\,o\,quadrado\,da\,hipotenusa\\\rm \acute e\,igual\,a\,soma\,dos\,quadrados\,dos\,catetos.\\\rm sendo\,x\,a\,hipotenusa\,y\,e\,z\,os\,catetos\\\rm podemos\,escrever:\\\rm x^2=y^2+z^2\end{array}}$

$\small\boxed{\begin{array}{l}\rm Designando\,por\,x\,a\,hipotenusa\,do\,tri\hat angulo\,temos:\\\rm x^2=6^2+8^2\\\rm x^2=36 +64\\\rm x^2=100\\\rm x=\sqrt{100}\\\rm x=10\,cm\\\huge\boxed{\boxed{\boxed{\boxed{\rm\dagger\red{\maltese}~\blue{alternativa~c}}}}}\end{array}}$