Question 6
In the figures, chord AB is the base. Choose points on the circle above this base and connect each point to both A and B with straight line segments. Figure (a), with one point, contains one triangle. Figure (b), with two points, contains five triangles.
(a) How many triangles can be constructed with the base and 3 points?
(b) How many triangles can be constructed with the base and 5 points?
(c) What is the least number of points needed to construct at least 120 triangles?
(a) How many triangles can be constructed with the base and 3 points?
(b) How many triangles can be constructed with the base and 5 points?
(c) What is the least number of points needed to construct at least 120 triangles?