The idea for this instructable came to me during the latest lecture about physics.

All credits goes to Pythagoras (572-497 BC).

It may not have any practical application unless post-apocalyptic survival, but it's great for making with kids to demonstrate them **the most fundamental laws of Universe.**

## Step 1: Let's Do It!

All you really need is some twine. The best is thin one. Pins are helpful but if you have third hand not necessary.

Tie a knot somewhere at the beginning of the twine. Tie second knot about 10 cm (4 inches) far. Now you've got your basic distance. Measure it and use to tie next knot. Be careful not to measure them incrementally, because deviation also grows incrementally; instead of this use only first distance. Repeat until you have 12 knots. While tying 13th knot put the first one inside and fasten the way you end up with loop with 12 knots.

Grab first, third and seventh knot and stretch the loop out. You have perfect right triangle!

## Step 2: How Is It Done?

Right triangle edges ratio is:

**a² + b² = c²**

It's discovered by Pythagoras. In our triangle edges are 3, 4 and 5 generic units and fits the equation:

3² + 4² = 5²

9 + 16 = 25

For most of you it's nothing new but it's always fun and pleasure to "see the math":)

## 8 Discussions

3 years ago

you cant find right angle unless you use a protractor or square using 1'2'3 sticks. unlike the 3'4'5 it will form right angle automatically.

3 years ago

As you can see in my comments I did not mention anything about Pythagoras

I was only giving a different view on How to find a right angle

that's what the head title states, try my theory with lollipop sticks, I would of said matches but you would of burnt your fingers

Reply 3 years ago

Sorry, it doesn't work. With pencils and anything else. Could you explain how do you construct it?

3 years ago

Youre right BartG2...if you have 1 and 2 side the hypotenuse must be sq. root of 5 or 2.2 something. 3,4,5 is the lowest single digit combination. Please review your comment smartsmart.

3 years ago

Nice measuring Trick with the string another way is 3, 2, 1, or 1, 2, 3

meaning

lets work with pencils (new ones ) get the point

use 3 x pencils for the diagonal

use 2 x pencils for the horizontal

use 1 x pencil for the vertical

Ta Da

this information will now be stored in your mind for life

Reply 3 years ago

Hey, but 1,2,3 doesn't fit the equation a² + b² = c² ! 1+4=9? Or em I leaving something out?

3 years ago

This is awesome! This is something I've pondered while driving, perhaps for the occasional stranded-on-desert-island circumstance. Thanks! I will remember this!

3 years ago

This is a great little trick. Very cool!