Question

Determine o valor de X e y:​

Answer 1

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

$\large\boxed{\begin{array}{l}\sf x^2=4^2+4^2\\\sf x^2=2\cdot 4^2\\\sf x=\sqrt{2\cdot4^2}\\\sf x= 4\sqrt{2}\\\sf y^2=4^2+(4+5)^2\\\sf y^2=4^2+9^2\\\sf y^2=16+81\\\sf y^2=97\\\sf y=\sqrt{97}\end{array}}$