Respuesta :

Answer:

[tex]37[/tex]

Step-by-step explanation:

[tex]\text{Apply Pythagorean theorem,}\\\\~~~~~~~\text{Hypotenuse}^2 = \text{Base}^2 + \text{Perpendicular}^2\\ \\\implies c^2=1^2 +6^2\\\\\implies c^2 = 1 + 36\\\\\implies c^2 = 37\\\\\implies c =\sqrt{37}[/tex]