Respuesta :

Answer:

[tex]x=\sqrt{120}[/tex]

Step-by-step explanation:

Solving for two legs of triangle first.

Top Triangle
[tex]a^2+b^2=c^2[/tex]

[tex]15^2+b^2=19^2[/tex]

[tex]b^2=19^2-15^2[/tex]

[tex]b^2=361-225\\b=\sqrt{136}[/tex]

Bottom Triangle

[tex]a^2+b^2=c^2[/tex]

[tex]4^2+b^2=(\sqrt{136} )^2\\16+b^2=136\\b^2=120\\b=\sqrt{120}[/tex]