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?

A triangle. The sides are Capitol Street, H Street, and they hypotenuse is Florida Avenue.

2.89 miles
3.37 miles
3.67 miles
3.92 miles

Choose one option.

As shown in the figure, Isaiah's track forms a right triangle. Hence, we can apply the pythagorean theorem.

First, we find the hypotenuse or the longest side of the right triangle. The equation is: c^2 = a^2 + b^2, where c is hypotenuse, whereas a and b are the two shorter legs.

c = √(0.75^2 +1.2^2) = 1.415 miles

Therefore, the total distance is 1.415 + 0.75 + 1.2 = 3.37 miles

step-by-step explanation:

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it has to have an angle of 90 degrees