To find the area of the square, we use the formula A = s^2 where s is the side length. In this case, s = 6, so the area of the square is A = 6^2 = 36.
To find the area of the triangle, we use the formula A = 0.5 * b * h where b is the base and h is the height. We are given that the base is 9 and we need to find the height. Since the area of the square and the triangle are the same, we set them equal to each other:
36 = 0.5 * 9 * h
36 = 4.5h
h = 36 / 4.5
h = 8
Therefore, the height of the triangle is 8.
A square with sides equal to 6 has the same area as a triangle with the base of 9. What is the height of the triangle?
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