Respuesta :

[tex] \sqrt{22^{2}-8^{2}[/tex] = Length of the other leg. }

Which is 12.64911064 cm or 12.6 cm

Answer:

[tex]\boxed{12.6}[/tex]


1) We will need to use our knowledge of the pythagorean theorem in order to solve this problem.


[tex] a^{2} + b^{2} = \sqrt {c} [/tex]


2) We already know what a and c are.

[tex] 22^2=484[/tex] and [tex] 18^2=324[/tex]


3) We simply need to subtract.

484-324= 160


[tex] \sqrt{160} [/tex] ≈ 12.6491106407


4) Simply, round to the nearest tenth as the problem requires.

12.6


Hence, the answer would be 12.6cm