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Leto [7]
3 years ago
9

How many distinct diagonals of a convex heptagon (7-sided polygon) can be drawn?

Mathematics
1 answer:
valkas [14]3 years ago
4 0

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 d=\frac{n(n-3)}{2} , 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 = \frac{n(n-3)}{2}

- Substitute n by 7 in the rule above

∴ The number of diagonals = \frac{7(7-3)}{2}

∴ The number of diagonals = \frac{7(4)}{2}

∴ The number of diagonals = \frac{28}{2}

∴ 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

#LearnwithBrainly

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