Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**sydbernard****Member**- Registered: 2017-09-04
- Posts: 6

1. For which numbers n can it happen that a (not necessarily convex) pentagon has exactly n diagonals lying entirely in its interior? For each possible n, draw an example of a pentagon with exactly that many such “internal diagonals”.

2. Can a convex broken line self-intersect? (If yes, give an example, if no, give a proof.)

Offline

**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,354

hi sydbernard

1. I think to do this, you'd have to work through all the possibilities. geogebra as I mentioned before would help.

2. What is meant by a 'broken' line?

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

Pages: **1**