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The area of a right triangle is calculated using the formula:
Area = 1/2 * base * height
Plugging in the values given:
Area = 1/2 * 1 1/2 * 2 1/2
Area = 1/2 * 3/2 * 5/2
Area = 3/4 * 5/2
Area = 15/8
Therefore, the area of the right triangle is 15/8 square centimeters.