Cut the knot: learn to enjoy mathematics
A math books store at a unique math study site. Learn to enjoy mathematics.
Google
Web CTK
Best sites for teachers
Sites for teachers
Sites for parents
Terms of use
Awards

Interactive Activities
CTK Exchange
CTK Insights - a blog

Games & Puzzles
What Is What
Arithmetic/Algebra
Geometry
Probability
Outline Mathematics
Make an Identity
Book Reviews
Eye Opener
Analog Gadgets
Inventor's Paradox
Did you know?...
Proofs
Math as Language
Things Impossible
Visual Illusions
My Logo
Math Poll
Cut The Knot!
MSET99 Talk
Other Math sites
Front Page
Movie shortcuts
Personal info
Reciprocal links
Privacy Policy

Guest book
News sites

Recommend this site

Best sites for teachers
Sites for teachers
Sites for parents

Education & Parenting

Manifesto: what CTK is about Search CTK Buying a book is a commitment to learning Table of content Things you can find on CTK Chronology of updates Email to Cut The Knot Recommend this page

Subject: Formula for the height
Date: Fri, 28 Nov 1997 01:11:13 -0500
From: Denis Borris

came across an old geometry set the other day; started fooling around, to see what I could remember from High School....

worked out the height of a triangle ABC to be: (promise not to laugh!) sqrt(c2 - ((a2 + b2 - c2) / 2a)2) (also works by switching the b and c)

                  A
               c           b
             B    D              C
                     a

(gives me length of AD)

then I tried to simplify this and couldn't; did all kinds of "searches" (one took me to your page) and couldn't find anything on "height of a triangle"; is there a "standard formula" that gives the height given a b c ?

thanks for your help.

                                  
That was from Denis Borris.       we don't have "bad days";
Ottawa, Ontario, Canada.          but "bad days" have us!!!
Be not shy: borrisd@magi.com

 

 

Copyright © 1996-2008 Alexander Bogomolny

28701663Page copy protected against web site content infringement by Copyscape


Search:
Keywords:


Latest on CTK Exchange
Math
Posted by Laura
2 messages
06:56 AM, Apr-15-08

Divisibility rules - Jargon buste ...
Posted by Carolyn
2 messages
08:35 AM, Apr-04-08

drawing puzzle
Posted by martin gran
31 messages
06:53 PM, May-09-08

Distance to the horizon
Posted by Monty
3 messages
04:38 PM, May-08-08

Mistake on the page (an aside, Be ...
Posted by Max
4 messages
10:28 AM, Feb-28-08

Deriving functions based on diffe ...
Posted by ke_45
1 messages
12:47 PM, May-10-08

A typo in
Posted by alexwajn
1 messages
11:36 PM, Apr-19-08