Math Problem Statement
Solution
To determine how many triangles a pentagon can be divided into by drawing all diagonals from one vertex, we can use a formula for any polygon. The number of triangles formed is given by:
where is the number of sides of the polygon.
In this case, a pentagon has 5 sides ():
Thus, the correct answer is:
A. 3
Would you like more details or have any questions?
Here are 5 related questions for you to explore:
- How many triangles can be formed from a vertex in a hexagon?
- What is the relationship between the number of sides in a polygon and the number of diagonals?
- How do you calculate the interior angle sum of a polygon?
- How do you determine the number of diagonals in a polygon?
- How many diagonals are there in a regular octagon?
Tip: For any -sided polygon, the formula to find the number of triangles formed from one vertex is .
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Math Problem Analysis
Mathematical Concepts
Polygon Geometry
Diagonals
Triangles in Polygons
Formulas
Number of triangles = n - 2
Theorems
Basic Polygon Triangle Division
Suitable Grade Level
Grades 6-8
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