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Given that the surface area of this pyramid is 189 cm² and the area of its square base is 49 cm², we can calculate the lateral surface area by subtracting the area of the base from the total surface area:
Lateral surface area = Total surface area - Area of base = 189 cm² - 49 cm² = 140 cm²
Since there are four triangular faces, we can calculate the area of one triangular face by dividing the lateral surface area by 4:
Area of one triangular face = Lateral surface area / 4 = 140 cm² / 4 = 35 cm²
Therefore, the area of one triangular face of the lateral surface is 35 cm².
Added 9/9/2023 1:24:45 PM
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