A heptagon can be divided into how many triangles by drawing all of the diagonals from one vertex?

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Question:

A heptagon can be divided into how many triangles by drawing all of the diagonals from one vertex?

Answer:

Answer:

The answer is 5 triangles.

Step-by-step explanation:

A heptagon is a seven sided polygon.

So, the number of triangles that can be drawn from 1 vertex in any polygon with n sides, is given by : ?f=n 2.

Therefore, in a heptagon, we can draw ?f=7 2%3D5 triangles.

The sum of the interior angles of a heptagon is 900 degrees. We can check this by taking the total interior angle sum of 5 triangles.

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Sum of internal angle of triangles is = 180 degrees.

So, sum of 5 triangles will be = ?f=180%5Ctimes5%3D900 degrees.

This proves, a heptagon can have 5 triangles.

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