how many diagonals can be drawn by joining the angular points of a heptagon
Answers
Answer
You may directly apply the formula to find out the number of diagonals.
For any n- sided convex polygon, the number of diagonals = n(n-3)/2
Where, n = number of sides or vertices
Triangle = 3(3–3)/2 = 0 diagonal
Quadrilateral = 4(4–3)/2 = 2 diagonals
Pentagon = 5(5–3)/2 = 5 diagonals
Hexagon = 6(6–3)/2 = 9 diagonals
Similarly,
Hectogon (Polygon with 100 sides) = 100(100–3)/2 = 4850 diagonals
Answer:
Step-by-step explanation:
What is the number of diagonals which can be drawn by joining the angular points of a polygon of 100 sides?
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You may directly apply the formula to find out the number of diagonals.
For any n- sided convex polygon, the number of diagonals = n(n-3)/2
Where, n = number of sides or vertices
Triangle = 3(3–3)/2 = 0 diagonal
Quadrilateral = 4(4–3)/2 = 2 diagonals
Pentagon = 5(5–3)/2 = 5 diagonals
Hexagon = 6(6–3)/2 = 9 diagonals
Similarly,
Hectogon (Polygon with 100 sides) = 100(100–3)/2 = 4850 diagonals