How Many Triangles Are in an Octagon?
6 triangles

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Keeping this in view, how many triangles are formed in a octagon?

Careful counting shows that there are 632 triangles in this eight sided figure. All triangles are formed by the intersection of three diagonals at three different points.

Beside above, how many triangles are in a Nonagon? 9

Similarly one may ask, how many equilateral triangles are there in a octagon?

Four equilateral triangles

What is the number of triangles that can be formed whose vertices are the vertices of an octagon?

Similarly, the triangles having only one side BC common with the octagon and also having vertices common with the octagon are BCE, BCF, BCG and BCH (as shown in Fig. 3). i.e. There are 4 such triangles. This way, we have 4 triangles for each side of the octagon.

Related Question Answers

How many triangles are there?

How many total triangles are there? There are 3 triangles. There is 1 big triangle (from the no interior lines case), and then there are 2 new small triangles, making for 3 = 1 + 2. If we add another slanted vertical line, we end up with 6 = 1 + 2 + 3.
Robert Thorne

Robert Thorne

Automotive & Future Transportation Editor

Robert Thorne covers electric vehicle innovations, autonomous driving systems, global mobility trends, and automotive engineering developments.