Question

Determine os valores de : x , m e h

Answer 1

$(6 \sqrt{5} )^2=12^2+h^2 \\ 36(5)=144+h^2 \\ 180=144+h^2 \\ 180-144=h^2 \\ 36=h^2 \\ h= \sqrt{36} \\\fbox{ h=6 } \\ \\ h^2=12m \\ 6^2=12m \\ 12m=36 \\ m=36\div12 \\\fbox{ m=3 } \\ \\ (12+m)^2=x^2+(6 \sqrt{5} )^2 \\ (12+3)^2=x^2+36(5) \\ 15^2=x^2+180 \\ 225-180=x^2 \\ 45=x^2 \\ x= \sqrt{45} \\ x= \sqrt{3^2.5} \\\fbox{ x=3 \sqrt{5} }$