find the number of diagonals in a deacon (i need the workings also)
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Answer:
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Step-by-step explanation:
diagonal connects two non-consecutive vertices of a polygon
A hexagon has six sides.
There are 3 diagonals from a single vertex, and there are 6 vertices on a hexagon, which suggests there would be 18 diagonals in a hexagon.
However, we must divide by two as half of the diagonals are common to the same vertices, Thus there are 9 unique in a hexagon.
The formula for the number of diagonals of a polygon is
2
n(n−3)
⇒n= number of sides of a polygon ⇒
2
6(6−3)
⇒9
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