If a polygon has 12 sides, how many diagonals can be drawn from one vertex?
Practice Questions
1 question
Q1
If a polygon has 12 sides, how many diagonals can be drawn from one vertex?
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The number of diagonals that can be drawn from one vertex of an n-sided polygon is given by (n-3). For a dodecagon (12-sided polygon), it is 12-3 = 9.
Questions & Step-by-step Solutions
1 item
Q
Q: If a polygon has 12 sides, how many diagonals can be drawn from one vertex?
Solution: The number of diagonals that can be drawn from one vertex of an n-sided polygon is given by (n-3). For a dodecagon (12-sided polygon), it is 12-3 = 9.
Steps: 6
Step 1: Understand that a polygon is a shape with straight sides. A dodecagon is a polygon with 12 sides.
Step 2: Identify that we want to find out how many diagonals can be drawn from one vertex of the dodecagon.
Step 3: Recall the formula for finding the number of diagonals from one vertex in an n-sided polygon, which is (n - 3).
Step 4: Substitute the number of sides (n) with 12 in the formula: (12 - 3).
Step 5: Calculate the result: 12 - 3 equals 9.
Step 6: Conclude that from one vertex of a dodecagon, you can draw 9 diagonals.
