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flash · 28-09-2006, 06:43 PM

How do you work out the square footage of a triangle?

buadhai · 28-09-2006, 06:52 PM

One half the height times the base.

kingwilly · 28-09-2006, 06:57 PM

^ dang - yo beat me to it.

well thread closed.

buadhai · 28-09-2006, 06:58 PM

You mean I was right?

Thetyim · 28-09-2006, 07:06 PM

Quote:

Originally Posted by buadhai

You mean I was right?

Nope, but who cares if he has 900 tiles left over

lom · 28-09-2006, 08:16 PM

Quote:

Originally Posted by buadhai

One half the height times the base.

Only if it is a 90 degree triangle.

NickA · 28-09-2006, 08:43 PM

The Area of a Triangle

The formula for the area of a triangle is:
area = one-half (length of the base) times (length of the the altitude).
You have to use the same linear units (inches, say) to measure the base and the altitude. The area is then given in square units (square inches, if we used inches to measure the sides).
How do you give a reasoned account of the formula, that is, an account that demonstrates why it is the "right way" to find a triangle's area? We cannot begin reasoning without some prior knowledge. We need to base our reasoning on something. We begin, therefore, assuming that we all already know and understand that the area of a rectangle is found by multiplying its length and its width.
Consider how we might determine the area of triangle ABC in the figure below:

We've added a line through A that is parallel to the base BC, and we've marked points A', B' and C' to make 3 segments, each of which is perpendicular to BC.
Now the reasoned explanation can go as follows: Triangle ABC covers exactly one-half of the area in rectangle BCC'B'. But the area of this rectangle is |BC| | AA'| = (base of ABC)(altitude of ABC). The area of the triangle is half this.
Area ABC = (1/2) (base of ABC)(altitude of ABC)
All seems well and good. However, this reasoning is not adequate for some triangles. What if A is not over the base? This situation is illustrated in the next picture:

In this case, the reasoning has to be different.

NickA · 28-09-2006, 08:44 PM

NickA · 28-09-2006, 08:46 PM

Area of Triangle = 1/2 Base x Height

Spin · 28-09-2006, 10:01 PM

The area of my GF's triangle is about 3/4 the size of me hand

buadhai · 29-09-2006, 09:06 AM

Quote:

Originally Posted by NickA

area = one-half (length of the base) times (length of the the altitude).

I knew I was right....

Quote:

Originally Posted by flash

One half the height times the base.

flash · 29-09-2006, 04:41 PM

ok thanks for all that, I have found my own method.

I will buy tiles a plenty and return the unopened boxes.

Thetyim · 29-09-2006, 05:09 PM

Not sure if you can get triangular tiles most of them seem
to be rectangular these days

flash · 29-09-2006, 05:13 PM

I'll use a lot of grout.

28-09-2006, 06:43 PM	#1 (permalink)
flash Fag an bealac! Last Online: 21-12-2009 09:50 PM Join Date: Mar 2006 Location: 53 00 N, 8 00 W Posts: 2,467	Question How do you work out the square footage of a triangle?

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28-09-2006, 06:52 PM	#2 (permalink)
buadhai Elite Member Last Online: 27-11-2006 08:00 AM Join Date: Mar 2006 Posts: 2,898	One half the height times the base.

28-09-2006, 06:57 PM	#3 (permalink)
kingwilly The Teakdoor Traitor Join Date: Jan 2006 Posts: 35,931	^ dang - yo beat me to it. well thread closed.

28-09-2006, 06:58 PM	#4 (permalink)
buadhai Elite Member Last Online: 27-11-2006 08:00 AM Join Date: Mar 2006 Posts: 2,898	You mean I was right?

28-09-2006, 08:43 PM	#7 (permalink)
NickA This is not my avatar Join Date: Oct 2005 Posts: 11,396	The Area of a Triangle The formula for the area of a triangle is: area = one-half (length of the base) times (length of the the altitude). You have to use the same linear units (inches, say) to measure the base and the altitude. The area is then given in square units (square inches, if we used inches to measure the sides). How do you give a reasoned account of the formula, that is, an account that demonstrates why it is the "right way" to find a triangle's area? We cannot begin reasoning without some prior knowledge. We need to base our reasoning on something. We begin, therefore, assuming that we all already know and understand that the area of a rectangle is found by multiplying its length and its width. Consider how we might determine the area of triangle ABC in the figure below: We've added a line through A that is parallel to the base BC, and we've marked points A', B' and C' to make 3 segments, each of which is perpendicular to BC. Now the reasoned explanation can go as follows: Triangle ABC covers exactly one-half of the area in rectangle BCC'B'. But the area of this rectangle is \|BC\| \| AA'\| = (base of ABC)(altitude of ABC). The area of the triangle is half this. Area ABC = (1/2) (base of ABC)(altitude of ABC) All seems well and good. However, this reasoning is not adequate for some triangles. What if A is not over the base? This situation is illustrated in the next picture: In this case, the reasoning has to be different.

28-09-2006, 08:44 PM	#8 (permalink)
NickA This is not my avatar Join Date: Oct 2005 Posts: 11,396

28-09-2006, 08:46 PM	#9 (permalink)
NickA This is not my avatar Join Date: Oct 2005 Posts: 11,396	Area of Triangle = 1/2 Base x Height

28-09-2006, 10:01 PM	#10 (permalink)
Spin likes big jugs...... Join Date: Jul 2006 Posts: 10,950	The area of my GF's triangle is about 3/4 the size of me hand

29-09-2006, 04:41 PM	#12 (permalink)
flash Fag an bealac! Last Online: 21-12-2009 09:50 PM Join Date: Mar 2006 Location: 53 00 N, 8 00 W Posts: 2,467	ok thanks for all that, I have found my own method. I will buy tiles a plenty and return the unopened boxes.

29-09-2006, 05:09 PM	#13 (permalink)
Thetyim ssshhhhh Join Date: Jan 2006 Location: Mousehole Posts: 15,492	Not sure if you can get triangular tiles most of them seem to be rectangular these days

29-09-2006, 05:13 PM	#14 (permalink)
flash Fag an bealac! Last Online: 21-12-2009 09:50 PM Join Date: Mar 2006 Location: 53 00 N, 8 00 W Posts: 2,467	I'll use a lot of grout.

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