Question

What is the number of triangles that can be formed whose vertices are the vertices of an octagon but have only one side common with that of octagon?

• A. 64
• B. 32
• C. 24
• D. 16

Hint:

For geometric shape-related problems, consider using combinatorial methods to count the possible arrangements or selections.

Answer 1

The Correct Option is B

To form a triangle with vertices of the octagon, we must choose 3 vertices such that only one side of the triangle is common with the octagon. The formula for the number of triangles with one side common to the octagon is given by choosing 2 vertices and the third one from the remaining vertices. Thus, the correct answer is 32.