what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = millimeters

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs (a) and (b) and hypotenuse (c), (c^{2}=a^{2}+b^{2}). Here (a = 5) mm and (b=2) mm. So (c^{2}=5^{2}+2^{2}).

Step2: Calculate (a^{2}+b^{2})

(5^{2}+2^{2}=25 + 4=29). So (c^{2}=29).

Step3: Solve for (c)

(c=\sqrt{29}\approx5.4) mm.

Answer:

5.4