Current location - Training Enrollment Network - Mathematics courses - A small mathematical problem: which triangle has the same side as the regular octagon in the triangle formed by connecting three vertices of the regular octagon? A.
A small mathematical problem: which triangle has the same side as the regular octagon in the triangle formed by connecting three vertices of the regular octagon? A.
Let these eight points be A 1, A2, A3, A4, A5, A6, A7 and A8.

1. has the advantage of men.

Connecting a 1, a2 and A4, A5, a6 and A7 can form four triangles.

Connect a2 and a3 with A8, A5, A6 and A7 to get four triangles.

......

* * * Eight groups, 8*4=32.

2. There are two aspects.

Connecting A 1, A2 and A3 can make 1 triangles.

Connecting A2, A3 and A4 can make 1 triangle.

......

Connecting A8, A 1 and A2 can make 1 triangles.

* * * Eight groups, 8* 1=8.

In a word, ***32+8=40.