Question

how many diagonals can be drawn from one vertex of a polygon of 20 sides

how many triangles will you get

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Answer 1

Answer:

In a 20-sided polygon, the total diagonals are = 20(20-3)/2 = 170. But, since one vertex does not send any diagonals, the diagonals by that vertex needs to be subtracted from the total number of diagonals. In a polygon, it is known that each vertex makes (n-3) diagonals.

Step-by-step explanation:

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Answer 2

17 diagonals can be drawn from one vertex of a polygon of 20 sides

Given :

A polygon has 20 sides

To find :

The number of diagonals can be drawn from one vertex

Solution :

Step 1 of 2 :

Write down the number of sides

The polygon has 20 sides

Step 2 of 2 :

Find number of diagonals can be drawn from one vertex

We know that the number of diagonals drawn from the vertex of polygon of n sides is n - 3

Here n = 20

Hence number of diagonals can be drawn from one vertex

= 20 - 3

= 17

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