Associated Topics || Dr. Math Home || Search Dr. Math

Area: Triangle vs. Rectangle

```
Date: 4/30/96 at 12:2:36
From: Anonymous
Subject: Math

Dear Dr.Math,

Why do you have to use a different formula to get the area of a
triangle than a rectangle or square?
```

```
Date: 5/4/96 at 16:54:44
From: Doctor Mike
Subject: Re: Math

Greetings,

You use a different formula because it is a different problem.
The answer is different so you need a different process to get

There is another way to explain this with a picture. Here is a
rectangle with a line drawn from one corner to the opposite corner:

------------
|\         |
| \        |
|  \       |
|   \      |
|    \     |
|     \    |
|      \   |
|       \  |
|        \ |
|         \|
------------

The rectangle is about 2 cm wide and 4 cm tall, so its area is
2 times 4 , which is 8 square cm.  Clearly, the rectangle is made up
of the 2 triangles.  If you used the same formula to get the area
of the triangles you would get the wrong answer.  Each triangle is
one half the area of the whole rectangle.  You get that if you use
the correct formula for the area of the trangle, which is "Base
times Altitude times 1/2".

I hope that was clear.  If you have any more questions please write
us again.

-Doctor Mike,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Elementary Geometry
Elementary Triangles and Other Polygons
Elementary Two-Dimensional Geometry
Middle School Geometry
Middle School Triangles and Other Polygons
Middle School Two-Dimensional Geometry

Search the Dr. Math Library:

 Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words

Submit your own question to Dr. Math
Math Forum Home || Math Library || Quick Reference || Math Forum Search