Respuesta :

i) Using the pythagorean theorem, we'll get that:

[tex]c^2=24^2+10^2[/tex]

Solving for c,

[tex]\begin{gathered} c=\sqrt[]{24^2+10^2} \\ \rightarrow c=26 \end{gathered}[/tex]

ii) Using the pythagorean theorem. we'll get that:

[tex]25^2=7^2+a^2[/tex]

Solving for a,

[tex]\begin{gathered} 25^2=7^2+a^2 \\ \rightarrow a^2=25^2-7^2 \\ \rightarrow a=\sqrt[]{25^2-7^2} \\ \rightarrow a=24 \end{gathered}[/tex]