You can compare fractions by using the benchmark fraction of 1/2. To use this in order to make comparisons, you will need to look carefully at what the numerator and The denominators are in a fraction. If the top number, the numerator is less than half of the denominator, then the fraction would be less then the benchmark 1/2. If the numerator is more than half of the denominator then the fraction would be more than the benchmark 1/2. For example, 3/4 is more than 1/2 because the numerator of three is more than half of the denominator 4.
The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.
The apothem of the base for side length s is ...
s/2 = a·tan(π/8)
a = s/(2·tan(π/8)) ≈ 7.24 cm
The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...
x² = 10² + a² = 100 +52.46
x ≈ √152.46 ≈ 12.35
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The area of the 8 triangular faces will be ...
A = 1/2Px . . . . where P is the perimeter of the pyramid
