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The surface area of this pyramid is one hundred eighty-nine square centimeters. The area of the square base is forty-nine square centimeters. What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
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Here's the formula 1/3 × [Base Area] × Height http://www.mathsisfun.com/geometry/pyramids.html
35
Please explain how you got that
Assuming the square base is included as part of the surface area, the total surface area is (total area) = (base area) + 4*(triangular face area) 189 cm^2 = 49 cm^2 + 4*(triangular face area) 140 cm^2 = 4*(triangular face area) 140/4 cm^2 = (triangular face area) 35 cm^2 = (triangular face area)
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