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

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$ Here (a = 6), (b = 8). Substitute into the formula: $$6^{2}+8^{2}=c^{2}$$

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

$$6^{2}=36$$ $$8^{2}=64$$ So (36 + 64=c^{2}), i.e., (c^{2}=100)

Step3: Solve for (c)

Take the square root of both sides: (c=\sqrt{100}) (c = 10)

Answer:

(10)