Question

How many diagonals does a polygon with 29 sides have?

Answer 1

Hi...☺️

Here is your answer...✌️
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Number of diagonals in a polygon
= n(n-3)/2

{ Where n = number of sides in polygon }

Number of diagonals in given polygon (having 29 sides)

= 29×(29-3)/2

= 29×26/2

= 29×13

= 377

Answer 2

A polygon with 29 sides has 377 diagonals.

GIVEN

Sides of a polygon = 29

TO FIND

Number of diagonals

SOLUTION

We can simply solve the above problem as follows;

We know that a polygon is simply a 2-Dimensional figure enclosed by straight lines.

The diagonal of polygon having 'n' number of sides is given by the following formula;

$= \frac{n(n - 3) }{2}$

Putting the value of n as 29 in the above formula;

$= \frac{29(29 - 3) }{2}$

= 754/2

= 377

Hence, A polygon with 29 sides has 377 diagonals.

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