1. The problem involves finding the length of the hypotenuse $c$ in a right triangle where the legs $a$ and $b$ are given.
2. We use the Pythagorean theorem formula: $$a^2 + b^2 = c^2$$ which states that the square of the hypotenuse equals the sum of the squares of the other two sides.
3. Given $a = 3$ miles and $b = 2.8$ miles, substitute these values into the formula:
$$3^2 + 2.8^2 = c^2$$
4. Calculate the squares:
$$9 + 7.84 = c^2$$
5. Add the values:
$$16.84 = c^2$$
6. To find $c$, take the square root of both sides:
$$c = \sqrt{16.84}$$
7. Calculate the square root:
$$c \approx 4.1037$$
8. Therefore, the length of the hypotenuse $c$ (C Street) is approximately 4.1 miles.
Pythagorean Theorem 517Fde
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