Find the number of triangles in a heptagon if drawn from a single vertex.

Given: A heptagon.

To do: To find the number of triangles in a heptagon if drawn from a single vertex.

Solution:

If a polygon has $n$ sides then,

Number of triangles in the polygon drawn from a single vertex$=n-2$

Here we have a heptagon, thus $n=7$.

$\therefore$ Number of triangles in a heptagon$=n-2=7-2=5$

Thus, there are $5$ triangles in a heptagon drawn from a single vertex.