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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, (a = 60), (b = 80), and the Pythagorean theorem is (c^{2}=a^{2}+b^{2}). So (c^{2}=60^{2}+80^{2}).

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

(60^{2}=60\times60 = 3600) and (80^{2}=80\times80=6400). Then (c^{2}=3600 + 6400).

Step3: Find (c^{2})

(c^{2}=3600+6400=10000).

Step4: Solve for (c)

Take the square - root of both sides. (c=\sqrt{10000}=100).

Answer:

100