Q:

# How many triangles are in a pentagon?

A:

Three triangles can be drawn inside a regular pentagon. If the diagonals are drawn from any one vertex of the pentagon, the number of triangles formed is given by the formula n - 2, where “n” is the number of sides of the polygon.

## Keep Learning

Credit: Phillipe Put CC-BY 2.0

A pentagon has five sides, with three interior triangles; 5 - 2 = 3. However, if every vertex is connected to every other vertex and the triangles formed by the intersection of the diagonals are also counted, a total of 31 triangles can be formed. Dividing a pentagon into triangles can help in calculating the area of a pentagon, especially if it is an irregular pentagon. The sum of the interior angles of a pentagon is always 540 degrees.

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