Answer:
The width is 2 meters, and the height is 6 meters.
Explanation:
In a right triangle, the two sides that form the right angle can be the base and the height.
area = 1/2 * base * height
Let the width be the base and be b.
The height is the altitude and is 3b.
area = 1/2 * b * 3b
area = 1.5b^2
The area is 6 square meters
1.5b^2 = 6
Divide both sides by 1.5
b^2 = 4
Take the square root of both sides.
b = 2
width = b = 2 meters
height = 3b = 3(2 meters) = 6 meters