The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle? (5 points)
2 units
6 units
Square root of 12 units
Square root of 20 units
Let's use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Given that one leg is 2 units (let's call this side a), and the hypotenuse is 4 units (let's call this side c), we want to find the length of the other leg (let's call this side b).
Using the Pythagorean theorem, we have:
a^2 + b^2 = c^2
2^2 + b^2 = 4^2
4 + b^2 = 16
b^2 = 16 - 4
b^2 = 12
Taking the square root of both sides, we have:
b = sqrt(12)
Therefore, the length of the other leg of the triangle is the square root of 12 units. So the correct answer is: Square root of 12 units.