Subjects geometry

Pythagorean Theorem 517Fde

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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.