Answer:
[tex]2\sqrt{42}[/tex] or 12.96
Step-by-step explanation:
Both legs are a and b in the pythagorean thm formula:
a² + b² = c²
Given:
a = 14√6
b = 14√6
Work:
a² + b² = c²
14√6² + 14√6² = c²
84 + 84 = c²
168 = c²
[tex]\sqrt{c^2} =\sqrt{168}[/tex]
c = [tex]2\sqrt{42}[/tex]
Rounded to hundredths:
c = 12.96
