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To find the area of the triangle, we can use the formula: Area = 1/2 * base * height.
In this case, the base of the triangle is 5 cm and the height is 7 cm.
Therefore, the area of the triangle is: 1/2 * 5 cm * 7 cm = 17.5 square centimeters.
So, the correct answer is: 17.5 square centimeters.