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3 years ago

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

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

7 0

That would be 5 triangles.

Eddi Din [679]3 years ago

5 0

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.

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3 years ago

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2 years ago

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3 years ago

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3 years ago