Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = \boxed{} meters

Explanation:

Step1: Apply Pythagorean theorem

$$c^2 = a^2 + b^2$$
Substitute $a=4$, $b=4$:
$$c^2 = 4^2 + 4^2$$

Step2: Calculate squared terms

$$c^2 = 16 + 16 = 32$$

Step3: Solve for c

$$c = \sqrt{32} = 4\sqrt{2} \approx 5.7$$

Answer:

5.7 meters