Respuesta :

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{36 \sqrt{2} \: \: units}}}}}[/tex]

Step-by-step explanation:

Given,

Perpendicular ( P ) = 36

Base ( b ) = 36

Hypotenuse ( h ) = ?

Finding the hypotenuse :

Using the Pythagoras theorem :

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

plug the values

⇒[tex] \sf{ {h}^{2} = {36}^{2} + {36}^{2} }[/tex]

Evaluate the power

⇒[tex] \sf{ {h}^{2} = 1296 + 1296}[/tex]

Add the numbers

⇒[tex] \sf{ {h}^{2} = 2592}[/tex]

Squaring on both sides

⇒[tex] \sf{h = 36 \sqrt{2} }[/tex] units

Hope I helped!

Best regards!!