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Question

A diagonal is a line segment that joins any two vertices of the polygon and is not a side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals.


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Solution

A pentagon has five sides.

First we draw a pentagon ABCDE and joins AC,AD,BD,BE and CE.

From the figure, we find that AC,AD,BD,BE and CE are the diagonals.


Hence, there are a total of five diagonals in a pentagon.


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