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### Find the Diagonal of a Rectangle

```
Date: 07/26/97 at 05:16:59
From: Boyd Henderson
Subject: One very confused crew

Dr Math

I am a building contractor and one day during lunch someone asked how
to find the diagonal of a rectangle. We use a tape measure to square
different things on the job site by measuring corner to corner and
then again on the opposite corners.  I have tried to think it through
and recall some of that high school geometry but it was just too long
making it.

Thanks.

Boyd Henderson
```

```
Date: 07/26/97 at 09:17:15
From: Doctor Jerry
Subject: Re: One very confused crew

Hi Boyd,

Carpenters, whether they remember the Pythagorean Theorem or not, use
this classical theorem when they use a tape measure to square various
corners on the job.

Think of the rectangle as a piece of paper.  Suppose the lengths of
the sides are a = 8.5 by b = 11.  Draw the diagonal on the paper.
Let its length be c. The Pythagorean Theorem (for either of the
triangles on opposite sides of the diagonal) says that a^2+b^2=c^2
(a^2 means a*a or a squared).

So, c^2 = 8.5^2+11^2 = 72.25+121 = 193.25.

This is c^2.  To calculate c, take the square root of 193.25, which is
13.90, approximately.

-Doctor Jerry,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
High School Geometry
High School Practical Geometry
High School Triangles and Other Polygons

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