Skip to main content

Triangle Tuesday

1:07
13.2K views

Video by Living Lost

Living Lost

What happens here

This project offers a practical and visual demonstration of the Triangle Inequality Theorem using wooden boards of various lengths. It addresses the common misconception that any three lengths can form a triangle, illustrating through concrete examples why the sum of any two sides must always be strictly greater than the third side for a triangle to be successfully formed. The demonstration provides clear, step-by-step examples of both failed and successful triangle formations.

Transcript

Hide

People think that any three boards can make a triangle. Well, let's get after it. I got a 6-in board, a 5-in board, and a 24-in board. Do these make a triangle? Obviously not, right? 5 + 6 = 11. That is smaller than 24. Now, what if they're equal? I got 12, 12, and 24. 12 + 12 = 24. Does that work? Nope. All it does is makes a straight line. So, here's the rule. The sum of any two sides must be greater than the third side. So, 5 + 6 less than 24, 12 + 12 equal. So, let's try our next one. So, now we got a 17-in and a 12 and a 12. Let's see if this works. And obviously this will work because 12 + 12 is larger than 17. Whether you're building braces, framing, or just trying to learn something new, always remember that your two shortest sides have to add up to greater than your longest side. Anyways, that's it for a triangle Tuesday. I got stuff to do. I'm out of here. Peace.

Auto-generated from the video audio.