Respuesta :

Answer:

13

Step-by-step explanation:

To get the hypotenuse (the longest side) you would use the Pythagorean Theorem ([tex]a^{2} + b^{2} = c^{2}[/tex])

Replace a and b with the two given sides and solve for c

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

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

169 = [tex]c^{2}[/tex]

Find the square root of both sides

[tex]\sqrt{169} = \sqrt{c^{2}}[/tex]

13 = c