Respuesta :

Answer:

13cm

Step-by-step explanation:

The pythagorean theorem states that, for right triangles, [tex]a^{2} +b^{2} =c^{2}[/tex]. Using this equation, we can solve for the hypotenuse.

a = 12cm

b = 5cm

c = hypotenuse

[tex]12^{2} +5^{2} =c^{2}[/tex]

[tex]144+25=c^{2}[/tex]

[tex]\sqrt{169} =c[/tex]

13 = c

Answer:

13

Step-by-step explanation:

a^2+b^2=c^2

12^2+5^2=c^2

144+25=c^2

169

square root of 169=13

13=c