Answer:
10 mm
Step-by-step explanation:
[tex]\text {Use the Pythagorean Theorem to solve for the hypotenuse.}\\ \\a^2+b^2=c^2\\\\\text {C is always the hypotenuse, while A and B are legs.} \\\text {We will solve for C to get the hypotenuse.}[/tex]
[tex]8^2 + 6^2 =c^2\\\\\text {Solve the exponents.}\\8^2 = 64\\6^2 = 36\\\rightarrow 64 + 36 = c^2\\\\\text {Add 64 and 36.}\\64 + 36 = 100\\\rightarrow 100 = c^2\\\\\text {Take the square root of 100 to get c.}\\\sqrt{100} = 10\\\rightarrow c = 10[/tex]
[tex]\text {The length of the hypotenuse is 10 millimetres.}[/tex]
