Question

ME AJUDEM POR FAVOR, FOTO DO EXERCÍCIO, É SOBRE TRIÂNGULO RETÂNGULO SOCORROOOOOOOO

Answer 1

Use Teorema de Pitágoras

$a^2=b^2+c^2$



$A)~~~~(2x)^2=(3 \sqrt{3} )^2+(x)^2\to\\\\4x^2=9.3+x^2\to\\\\ 4x^2-x^2=27\to\\\\ 3x^2=27\to\\\\ x^2= \dfrac{27}{3}\to\\\\ x^2=9\to\\\\ x= \pm~\sqrt{9} ~~\overrightarrow{~~~~~~} ~~considere~~apenas~~o~~valor~~positivo\\\\ \large\boxed{x=3}$





$B)~~~~(x+5)^2=(x+3)^2+(6)^2\to\\\\ x^{2} +10x+25= x^{2} +6x+9+36\to\\\\ x^{2} +10x+25-x^{2} -6x-9-36=0\to\\\\ \not x^{2} -\not x^{2} +10x-6x+25-9-36=0\to\\\\4x-20=0\to\\\\ 4x=20\to\\\\ x= \dfrac{20}{4} \to\\\\ \large\boxed{x=5}$