Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
35 mi.
12 mi.
c =
square miles

Explanation:

Step1: Apply Pythagorean theorem

$$c^2 = a^2 + b^2$$

Step2: Substitute given values

$$c^2 = 35^2 + 12^2$$

Step3: Calculate squared terms

$$c^2 = 1225 + 144 = 1369$$

Step4: Solve for c

$$c = \sqrt{1369} = 37.0$$

Answer:

37.0 miles