Question
Jamie measures the length and height of a triangular flag. If the flag’s base is 3 feet and the area is 9 feet squared, what is the height of the flag?(1 point)
Responses
3 feet
3 feet
27 feet
27 feet
6 feet
6 feet
8 feet
8 feet
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Since the area of a triangle is calculated by the formula:
\[Area = \frac{1}{2} \times \text{base} \times \text{height}\]
And the area is given as 9 feet squared and the base is given as 3 feet, we can rearrange the formula to solve for the height:
\[9 = \frac{1}{2} \times 3 \times \text{height}\]
\[9 = \frac{3}{2} \times \text{height}\]
\[\text{height} = \frac{9}{\frac{3}{2}} = \frac{9 \times 2}{3} = 6\]
Therefore, the height of the flag is 6 feet. The correct response is:
6 feet.