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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, (c^{2}=a^{2}+b^{2}), where (a = 51) km and (b = 68) km. So (c^{2}=51^{2}+68^{2}).

Step2: Calculate squares

(51^{2}=51\times51 = 2601) and (68^{2}=68\times68 = 4624). Then (c^{2}=2601 + 4624=7225).

Step3: Find the square - root

(c=\sqrt{7225}=85) km.

Answer:

85