Use the diagram to answer the question.
Information
A right triangle has a hypotenuse of 2 square root of 3 meters, a base of square root of 3 meters, and a height labeled x.
Question
What is the length of the side labeled x?
Answer options with 5 options
A.
2 meters
B.
3 meters
C.
StartRoot 3 EndRoot meters
D.
StartRoot 15 EndRoot meters
E.
3 StartRoot 3 EndRoot meters
To find the length of the side labeled x, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have:
hypotenuse^2 = base^2 + height^2
(2√3)^2 = (√3)^2 + x^2
4(3) = 3 + x^2
12 = 3 + x^2
x^2 = 9
Taking the square root of both sides, we get:
x = √9
x = 3
Therefore, the length of the side labeled x is 3 meters. The answer is option B.