In this tutorial, we use GeoGebra
to explore the minimum sum of the distances of a point on the interior of a
triangle to its sides. We learn how to use the Point on
Object tool and the Perpendicular Line tool. We also learn how to compute using
the Input bar. The final output of this tutorial is shown in the following
applet.
Steps in Creating the Applet
No

Instruction

1

Using the Polygon
tool, construct triangle ABC.

2

Select the Point
on Object tool,
and then click the interior of the triangle to create point D.

3

Move point D and
observe what happens. Can you move point D outside
the triangle?

4

Next, we create a line perpendicular to AB passing
through D.
To do this, select the Perpendicular Line tool,
select segment AB,
and then select point D.

5

Create two more lines passing through D,
one perpendicular to AC and
the other perpendicular to BC.

6

Using the Intersect Two Objects tool, intersect the lines and the perpendicular
segments. Your drawing should look like the figure below.

7

Hide the three lines by right
clicking each line and clicking them and selecting Show Objects.

8

Using the Segment
between Two Points tool, construct segments DE, DG,
and DF.

9

To find the total distance t of
points D from E, F,
and G,
type t = g + h + i,
and then press the ENTER key.

10

Move the points to explore and observe the value
of t.

Application
A building is going to be
constructed with a triangle bounded by the roads connecting Buildings A, B, and
C. A connecting pathway is to be constructed from the three roads to the
building. Find the location of the building that will minimize the cost of
pathway construction.
Happy Thanksgiving Day IMages
ReplyDeleteThanksgiving Images
Thanksgiving Quotes
ReplyDeleteYou are saving our time by providing resorseful news.
Funny Merry Christmas memes
Merry Christmas memes
merry cHRISTMAS 2017 Wallpapers
merry cHRISTMAS 2017 Images
Funny Merry Christmas Wishes
ReplyDeleteMerry Christmas Images
Merry Christmas Quotes
Advance Merry Christmas Greetings.
Merry Christmas Advance Images
Merry Xmas Quotes
Merry Xmas Pictures
Browse, search and watch Golden Globe Awards videos and more at
ReplyDeleteGolden Globe envivo
Golden Globe awards 1080p
Happy New Year 2018 Wallpapers
ReplyDeletewill always be the topmost priority of people during any special occasions. Wallpapers are customized, attractive and special. We bring to you Happy new year 2017 wallpapers which are influential and unique. Our wallpapers are light weight, means they won't consume more memory. New year celebration is only once in a year, a wallpaper with good wishes, good quotes, and inspirational messages will inspire anyone. That is the magic of wallpapers. You may email or emessage these wallpapers, take out a print or simply read it out loud in front of your friends and relatives. New Year 2018 Countdown
Happy New Year GIF
Happy New Year Status
Happy New Year GIFs
Happy Birthday GIF
ReplyDeleteFunny GIF
Anime GIF
Bank Code
ReplyDeleteIFSC Code
best led grow lights
ReplyDeleteBest seeds for growing marijuana
[url=https://www.mylifejobs.com/nationalscholarshipportalnspapplicationformonlinestatusregistrationstudentloginwwwscholarshipsgovin/]National Scholarship Portal[/url]
ReplyDeleteMaru Gujarat
National Scholarship Portal
ReplyDeleteMothers Day Images
Mothers Day Images
Mothers Day Wishes
Happy Holi Images
ReplyDeleteHappy Holi Wishes
Happy Birthday Wishes
Aadhaar Card Download
ReplyDeleteLink Aadhar with PAN
Aadhar Card Update
stardew valley mods
ReplyDeleteTech News
solarmovie
Titanium Backup Pro Apk
ReplyDeletefrp bypass apk
nova launcher apk
ReplyDeleteNova Launcher Prime apk
IPL Point Table
ReplyDeleteIPL Schedule