Question

quem souber fazer essa conta aí me explica como se resolve

Answer 1

Resposta: 9

$H=hipotenusa\\ca=cateto.adjacente\\co=cateto.oposto\\\\H^{2}=ca^{2}+co^{2}\\H^{2}=6^{2}+4^{2}\\H^{2}=36+16\\H^{2}=52\\H=\sqrt{52}\\H=2\sqrt{13}\\\\H_{2}^{2}=(\sqrt{52})^{2}+3^{2}\\H_{2}^{2}=52+9\\H_{2}^{2}=61\\H_{2}=\sqrt{61}\\\\x=H_{3}\\H_{3}^{2}=(\sqrt{61})^{2}+(2\sqrt{5})^{2}\\H_{3}^{2}=61+20\\H_{3}^{2}=81\\H_{3}=\sqrt{81}\\H_{3}=9\\\\\boxed{x=9}$

Explicação passo-a-passo: