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

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 = 8) and (b = 6). [c^{2}=8^{2}+6^{2}]

Step2: Calculate squares

[8^{2}=64] and [6^{2}=36]. Then (c^{2}=64 + 36). [c^{2}=100]

Step3: Solve for (c)

Take the square - root of both sides. Since (c) represents the length of a side of a triangle, (c>0). [c=\sqrt{100}=10]

Answer:

10