Head First 2D Geometry

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triangle properties

Let’s put the drink stall at the centroid

Outside the venue would be a pretty weird place to put your drinks stall, so it’s

important to pick a center which is always interior.

The centroid also never gets pulled particularly close to one side or vertex,

whereas the incenter can end up very far from one vertex if the triangle has

sides of very different lengths.

An interesting thing about the centroid is that it’s where the triangle

balances—this means that each median splits the triangle area into two equal

halves.

Stage at this end.

Scale : 1cm = 10 meters

Using accurate construction, find the position of the centroid of

your field to the nearest meter.

Do you notice anything interesting about the distance from the

centroid to the stage?

and ruler

188 Chapter 4

find the centroid

Using accurate construction, find the position of the centroid of

your field to the nearest meter.

Do you notice anything interesting about the distance from the

centroid to the stage?

and ruler solution

50m

75m

Stage this end

Scale : 1cm = 10 meters

25m

The centroid is exactly 2/3 of the

way from the stage to the back of

the venue.

To find the centroid, find the

midpoint of each side and draw

a line to the opposite vertex.

Q:

I drew an equilateral triangle

and my centers were ...