Easy question

easy question :)

If you have a simple sierpinski's triangle (3 up 1 down).
Does the line intersecting the two midpoints of the triangles "legs" also intersect the mid-point of the height? (if it is a equilateral triangle)

Char. Limit

PF SAS Commando
Gold Member
Re: easy question :)


sort of a guesstimate here, but I think it would.

Since the height of the triangle is equal to the height of the opposite triangle, I would say that since the two heights are equal, the midpoint of the "total" height is the line connecting the two leg midpoints (which form the shared side of the two smaller triangles I'm talking about).

Tell me if my explanation makes no sense, please.


Science Advisor
Re: easy question :)

Doesn't the forum advice you to be "descriptive" in your title? :')

The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving