Question

Determine as medidas x,y,z,w indicadas na figura abaixo

Answer 1

Resolveremos aplicando o Teorema de Pitágoras para encontrar cada medida.

$x^2=1^2+1^2\\x^2=1+1\\x^2=2\\x=\sqrt{2}$

$y^2=x^2+1^2\\y^2=(\sqrt{2})^2+1\\y^2=2+1\\y^2=3\\y=\sqrt{3}$

$z^2=y^2+1^2\\z^2=(\sqrt{3})^2+1\\z^2=3+1\\z^2=4\\z=\sqrt{4}\\z=2$

$w^2=z^2+1^2\\w^2=2^2+1\\w^2=4+1\\w^2=5\\w=\sqrt{5}$