Respuesta :

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{12}}}}}[/tex]

Step-by-step explanation:

hypotenuse ( h ) = x

Peendicular ( p ) = 10

base ( b ) = 22

Using the Pythagoras theorem

[tex] \boxed{ \sf{ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{ {x}^{2} = {10 }^{2} + {22}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{ {x}^{2} = 100 + 44}}[/tex]

[tex] \dashrightarrow{ \sf{ {x}^{2} = 144}}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {x}^{2} } = \sqrt{144}}} [/tex]

[tex] \dashrightarrow{ \sf{x = 12}}[/tex]

Hope I helped!

Best regards! :D