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# Pythagorean Theorem: Carpentry

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## Bailey Diebel

on 13 December 2013

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#### Transcript of Pythagorean Theorem: Carpentry

Pythagorean Theorem in Carpentry
The relationship between carpentry and Pythagorean theorem is believed to be around 4,000 years old.

The modern house framing industry would not be possible the use of the theorem.

It is applied in nearly all aspects of home building.

Carpenters use math all the time
They have to measure lumber, hang doors and windows etc.
Framing a roof with rafters, dormers and every part of a roof all require an extensive knowledge of triangles and angles.
They would use many areas of math such as geometry to work out the angles of objects.
How does this tie together?
Ancient History
The Pythagorean theorem takes its name from the ancient Greek mathematician Pythagoras.
The Pythagorean theorem states that the sum of the squares of the lengths of the two other sides of any right triangle will equal the square of the length of the hypotenuse
In mathematical terms: a2 + b2 = c2
He started a religious commune involving geometric formulations.
He believed that eating animal products was cannibalism because they might contain the trans-migrated souls of human ancestors.
He and his cult also refused to eat beans.
Pythagorean Theorem
Pythagorean Theorem is used in many different occupations.
Especially carpentry.
Pythagorean Theorem
Pythagoras
Pythagoras (569-500 B.C.E.) was born on the island of Samos which is located in Greece.
He did much traveling through Egypt learning, among other things, mathematics.
Although we can't be sure if Pythagoras really was the first person to have found this relationship between the sides of right triangles.
Pythagoras would not let anyone record any of his work in writing.
Pythagorean Theorem is used extensively in carpentry.
Almost every carpentry project involves some combination of squares and triangles.
The Greeks, 1500 years ago, used full scale drawings of the roofs to develop the rafter lengths.
They also used Pythagorean Theorem to square up the strings they used for the geometric layout of the roof.
Modern carpentry work is so much easier when the Pythagorean Theorem is applied to the task at hand.

Roof framing, squaring walls, and foundations rely on this basic principle of mathematics.

Carpenters call it the 3 4 5 rule, but this does not work for every set of numbers.

The Pythagorean theorem is the basis for the 3-4-5 rule.
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