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Example Questions
Example Question #3 :Other Polygons
Polygonis a regular seven-sided polygon, orheptagon, with perimeter 500. Which choice comes closest to the length of diagonal?
Congruent sidesandand the diagonalform an isosceles triangle.
, being an angle of a seven-sided regular polygon, has measure
The other two are congruent, and each has measure
The length of one side is one-seventh of 500, or
can be found using the Law of Sines:
Of the given choices, 130 comes closest.
Example Question #4 :Other Polygons
Polygonis a regular nine-sided polygon, ornonagon, with perimeter 500. Which choice comes closest to the length of diagonal?
Congruent sidesandand the diagonalform an isosceles triangle.
, being an angle of a nine-sided regular polygon, has measure
The other two are congruent, and each has measure
The length of one side is one-ninth of 500, or
can be found using the Law of Sines:
Of the given choices, 105 comes closest.
Example Question #5 :Other Polygons
What is the side length of a 12-sided polygon with a perimeter of
To find the side length,, of an-sided polygon with a perimeter of.
Use the formula:
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