Answer:
x = 12.2 mi
Step-by-step explanation:
Given the two sides of the right triangle:
a = 6.1 mi
b = 10.6 mi
c = x
Use the Pythagorean Theorem to solve for the value of the hypotenuse, x:
c² = a² + b²
c² = (6.1)² + (10.6)²
c² = 37.21 + 112.36
[tex]\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }[/tex]
[tex]\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }[/tex]
c = 12.2 mi
Therefore, x = 12.2 mi
