Respuesta :

Answer:

20 cm

Step-by-step explanation:

Using the Pythagorean theorem:

[tex](a^2)+(b^2)=(c^2)\\(12)^2+(16)^2=(c^2)\\144+256=c^2\\400=c^2[/tex]

[tex]\sqrt{x} 400=c^{2} \\c^2=20\\[/tex]

Answer:

20 centimeters

Step-by-step explanation:

to find the length of a use the pythagoran theorem.

A^2+B^2=C^2 with a and b being the legs.

Plug in the numbers 12^2+16^2=c^2

Solve

c=20