Réponse :
Explications étape par étape
Bonsoir
Triangle rectangle donc pythagore :
X^2 = a^2 + b^2
X^2 = 22^2 + 4^2
X^2 = 484 + 16
X^2 = 500
[tex]x = \sqrt{500} = 10\sqrt{5}[/tex] cm
Y^2 = x^2 + x^2
Y^2 = 2x^2
Y^2 = 2 * 500
Y^2 = 1000
[tex]y = \sqrt{1000} = 10\sqrt{10}[/tex]
a^2 + z^2 = y^2
Z^2 = y^2 - a^2
Z^2 = 1000 - 484
Z^2 = 516
[tex]z = \sqrt{516} = 2\sqrt{129}[/tex]
X ~ 22,4 cm
Y ~ 31,6 cm
Z ~ 22,7 cm
