[tex]\large\text{$ O ~valor ~de ~a ~ \Rightarrow ~ a = 25$}\\\\\large\text{$ O ~valor ~de ~b ~ \Rightarrow ~ b = 5\sqrt{15} $}\\\\\large\text{$ O ~valor ~de ~c ~ \Rightarrow ~ c = 5\sqrt{5} $}\\\\\large\text{$ O ~valor ~de ~h ~ \Rightarrow ~h = 5\sqrt{3} $}[/tex]
[tex]\large\text{$ Rela\c{c}\tilde{a}es ~m\acute{e}tricas ~do ~tri\hat{a}ngulo ~ret\hat{a}ngulo $}[/tex]
Encontra o valor de a:
[tex]a = 5 + 15\\\\a = 20[/tex]
Encontrar o valor de c:
[tex]c^2 = am\\\\c^2 = 25 ~\cdot~5\\\\c^2 = 125\\\\c = 5\sqrt{5}[/tex]
Encontrar o valor de b:
[tex]b^2 = an\\\\b^2 = 25 ~\cdot~15\\\\b^2 = 375\\\\b = 5\sqrt{15}[/tex]
Encontrar o valor de h:
[tex]h^2 = m ~\cdot~ n\\\\h^2 = 5~\cdot~ 15\\\\h^2 = 75\\\\h = \sqrt{75} \\\\h = 5\sqrt{3}[/tex]
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