The length of the missing leg of a right triangle is 6 units long. Option C is the correct option.
What is Pythagoras theorem?
Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.
Here, it is given that the in a right triangle given one leg is of length 8 units and a hypotenuse of length 10 units.
Suppose the third side of the right angle is x units long as shown in the figure attached below. As the length of the one leg of right angle triangle is 8 units and the hypotenuse of length 10 units.
Thus, the missing leg of a right triangle is,
[tex]x^2+8^2=10^2\\x^2=100-64\\x^2=36\\x=\sqrt{36}\\x=6[/tex]
Thus the length of the missing leg of a right triangle is 6 units long. Option C is the correct option.
To learn more about the Pythagoras theorem here;
https://brainly.com/question/343682
