Answer:
6 cm
Step-by-step explanation:
We can use the Pythagorean Theorem to find the length of the missing side.
The Pythagorean Theorem states that the hypotenuse of a right triangle will be [tex]a^2 + b^2[/tex], where a and b are the leg lengths.
Together, we get the formula [tex]a^2 + b^2 = c^2[/tex].
Since we know the hypotenuse (c) and one of the sides (let's say a), we can find the missing side (b) by substituting inside the equation.
[tex]8^2 + b^2 = 10^2\\\\64 + b^2 = 100\\\\b^2 = 100-64\\\\b^2 = 36\\\\b = \sqrt{36}\\\\b=6[/tex]
So the missing side is 6 cm long.
Hope this helped!
