Question

pre-algebra ic sem 2 fall 2025 square roots and right triangles isaiah is jogging near his college. he runs south along capitol street for about 0.75 miles and east along h street for about 1.2 miles. he then turns left and runs along florida avenue until he reaches his starting point. how long is his total run to the nearest hundredth of a mile? 2.89 miles 3.92 miles 3.67 miles 3.37 miles

Explanation:

Step1: Use the Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 0.75\) and \(b=1.2\).

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Step2: Calculate the total distance

The total distance \(d=0.75 + 1.2+1.415\)

$$d=3.365\approx3.37$$

Answer:

\(3.37\) miles