The convex heptagon has 14 distinct diagonals can be drawn
Step-by-step explanation:
A polygon is said to be a heptagon if it has 7 vertices, 7 sides and 7 angles. A heptagon is called a convex heptagon if the lines connecting any two non-adjacent vertices lie completely inside the heptagon
The formula of number of diagonals in any polygon is [tex]d=\frac{n(n-3)}{2}[/tex] , where
- d is the number of the diagonals of the polygon
- n is the number of sides of the polygon
∵ The heptagon has 7 sides
∴ n = 7
∵ The number of diagonals = [tex]\frac{n(n-3)}{2}[/tex]
- Substitute n by 7 in the rule above
∴ The number of diagonals = [tex]\frac{7(7-3)}{2}[/tex]
∴ The number of diagonals = [tex]\frac{7(4)}{2}[/tex]
∴ The number of diagonals = [tex]\frac{28}{2}[/tex]
∴ The number of diagonals = 14
The convex heptagon has 14 distinct diagonals can be drawn
Learn more:
You can learn more about the polygons in brainly.com/question/6281564
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