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The area of a triangle is calculated by the formula A = 1/2 * base * height.
Given the base is 1 1/2 centimeters and the height is 2 1/2 centimeters, we have:
A = 1/2 * 1 1/2 * 2 1/2
A = 1/2 * 3/2 * 5/2
A = 3/4 * 5/2
A = 15/8
A = 1 7/8 square centimeters
Therefore, the area of the right triangle is 1 7/8 square centimeters.