Using the Pythagorean theorem, the length of the apothem, rounded to the nearest tenth, is: 6.5 cm.
What Pythagorean Theorem?
If a and b are legs of a right triangle, and c is the longest leg/hypotenuse, based on the Pythagorean theorem, the following equation is true: c² = a² + b².
Thus, the apothem of the regular polygon is AC
- BC = 1/2(9.4) = 4.7 cm
- Radius = AB = 8 cm (hypotenuse)
Thus, applying the Pythagorean theorem, we would have:
AB = √(8² - 4.7²)
AB = 6.5 cm.
Therefore, using the Pythagorean theorem, the length of the apothem, rounded to the nearest tenth, is: 6.5 cm.
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