5-Pointed Star Geometric Problem?

Question

This is a problem submitted to my third year English students from their maths teacher.

- Start with a 5-pointed regular star (http://publib.boulder.ibm.com/infocenter/systems/topic/com.ibm.aix.graPHIGS/doc/phigsund/figures/AFM24r09.jpg)

- Draw 2 straight lines (any direction, any length)

- Make 10 WHOLE triangles. One triangle cut in 2 counts as 2 triangles, NOT 3.

Is this possible? Solutions would be HIGHLY appreciated.

Answer 1

Yes it is possible.

One line cuts 2 star triangles to form 4 triangles and does not pass throught the pentagram.

The second line cuts through 2 star triangles and the pentagram to form 5 triangles and the last star triangle is untouched making 10...I proved this in autocad.

Answer 2

well.... i haven't been able to do it, but i know that the guy who's answered above me wasn't either, unless he's explaining it wrong. His "triangles" aren't all triangles

Answer 3

the link was invalid or not available?