Can you find the base and height measurements for a triangle if you know that the area is 22 square units? Explain why or why not.
nope. All you know is that bh/2 = 22
Pick any value for b, and you can figure h, but you can't pin them both down.
In order to find the base and height measurements for a triangle, knowing the area alone cannot provide a unique solution. The area of the triangle can be calculated using the formula A = (1/2) * base * height, where A represents the area.
However, if only the area is given (in this case, 22 square units), there are infinitely many combinations of base and height that can yield the same area. For example, if the base is 4 units and the height is 11 units, the area will be 22 square units. Similarly, if the base is 2 units and the height is 44 units, the area will also be 22 square units.
In order to determine the base and height of the triangle, you need to have additional information such as the length of one side, the length of another side, or the measurement of an angle. These additional measurements can be used to solve the triangle using various methods such as trigonometry or the Pythagorean theorem.