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The missing side of the triangle is 10 miles.

Step-by-step explanation:

Use the Pythagorean theorem to figure out the leg of the missing leg.

Formula: a^2+b^2=c^2, given a=leg, b=leg, and c=hypotenuse

One of the legs is 6 miles, and one of the legs is 8 miles, so plug it into the formula and solve for x.

6^2+8^2=x^2

64+36=x^2

a^2=100

Take the square root of both sides, and you get 10 miles.