Question

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

Answer 1

That would be   5 triangles.  

Answer 2

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 : $n-2$.

Therefore, in a heptagon, we can draw $7-2=5$ 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.

Sum of internal angle of triangles is = 180 degrees.

So, sum of 5 triangles will be = $180\times5=900$ degrees.

This proves, a heptagon can have 5 triangles.