Respuesta :

Answer:

c = 13

Step-by-step explanation:

2 ways of going about in this problem

1. If you have done enough Pythagorean theorem problems, you might be able to memorize some common right triangle side lengths, such as 3-4-5 or

5-12-13

2. actually using Pythagorean theorem

[tex]a^2+b^2=c^2[/tex], where c is hypotenuse

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

c = [tex]\sqrt{169}[/tex] = 13