What is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 2 units? (5 points)
4 units
2 units
Square root of 6 units
Square root of 8 units
To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem:
a^2 + b^2 = c^2
Here, a and b are the lengths of the legs of the triangle, and c is the length of the hypotenuse.
In this case, both legs have a length of 2 units, so we have:
2^2 + 2^2 = c^2
4 + 4 = c^2
8 = c^2
Taking the square root of both sides, we have:
√8 = c
Simplifying the square root of 8, we have:
√8 = √4 * √2 = 2√2
Therefore, the length of the hypotenuse is 2√2 units.
So the correct answer is: Square root of 8 units.