Silverio Triangle

Vicky and me created a triangle on cardboard. First we had to draw the triangle on patty paper and then bisect the angles. Then we traced the triangle into the cardboard and we label the vertex and the midpoint. We colored the triangle then we had to balance the triangle in a pencil.

Centroid

Drew the triangle and found the centroid on the patty paper and then copy the construction on the cardboard. Drew the midpoint and connect it to the vertex. When balance on the pencil it is the median. Measure the length divided by the longer line and get a proportion and it come to a shorter length.

alex's centeriod

the centeriod of the triangle is the point of intersection of the three mediansthe one that I made is balanced directly in the middle. (picture in progress) so as if you divided the tringle in half length wise it would be equal on both sides .

muting's centroid

this are the pictures of centroid that i make with Janet in July 20, 2007. first we have to draw a scalene triangle on a patty paper, to draw a centroid we have to find out the medians and the midpoints, not the vertex, so we can find the centroid. then we copy it down on a cardboard and cut the triangle out. next we place the centroid on a pencil eraser tip and try to balance it. when we see it balance because of the center of gravity make it balance. next we place the centroid on the length of the pencil. this one we have to place it with the longer median, not the shorter median, but this one we have to use some of proportion because it is hard to balance.

Jenea's Fruity Paragraph About 3.5 Centroid Steps 9-11

Here is another real life example of a centroid triangle I made with Jonathan. This second picture of the centroid triangle, we used a wooden pencil to balance the triangle vertically.

Here are real life examples of a centroid triangle I made with one of my friends Jonathan. The first picture of the centroid Jonathan and I made, we used a regular wooden pencil to balance the triangle horizontally.

[Still Under Constrcution)

darynell's centroid triangle

centroid is considered the center of gravity because it is the one place where a polygon is perfectly balanced meaning it will always be stable at that point as long as both sides remain equal.The centroid goes from the vertex to the midpoint on the opposite side.once all of the lines are established they form the median.When the medians are formed to check your work measure one of the line segments the larger part shold be double the size of the smaller one.

Janet's Centroid

Here are pictures of the centroids that I made with Muting. The centroid balanced on the centroid and the median. Centroid is considered the center of gravity because it will balance and it will not fall. We had to line up the midpoint and the vertix to see if it will balance on the length of the pencil. We had to balance the pencil on the longer median, and not the shorter one. When we had to balance the median on the length of the pencil, we had to use proportion because it was hard to balance it.

Jenny's Centroid Triangle

Here is a picture of a cardboard triangle and it is also being balanced of a pencil. On July 20, 2007, I worked with Susan L. Before we started on the cardboard triangle, we draw a picture on the patty paper. To figure out the centroid of the triangle on the patty paper, we fold each corner to the vertex. After we fold all the 3 angles, there is a place where it intersected which called a median. Then you make an angle bisector to the midpoint to all the 3 triangle to find out the centroid. Also you should trace the patty paper by marking the points on the cardboard. Then you connects every points which should look exactly the same thing. However you wants to figure out the shortest and longest distance you needs to figure out the lengths of each segments. You needs to do the shortest over the longest distance for each segment. The proportion tells the golden ratio of the triangle. All the segments should be the same fraction. Then we used a pencil to balanced it. When we figure out our segment it was one half. It was also really fun that we could decorated and we label it.

Vicky`s Centroid Triangle

On Friday, me and Silverio made a triangle. We started drawing it on patty paper and bisected each angle. Then we marked the midpoint and vertex onto the cardboard and re-drew the triangle. We labeled the center where all three lines intersect the centroid or center of gravity. Then we tried to balance the cardboard triangle on a pencil. That is called the median. You measure the length and make a proportion. It becomes the shorter line / the longer line.

Jon's Centroid Triangle

The centroid triangle we made was able to balance on the median and centroid. We had to put the pencil to aline with the midpoint, median, and vertex. The reason why the triangle balances on the pencil is because of the center of gravity. The length of the shorter segment is 2 times smalller than the longer segment. We need the proportion to help find how many times does the shorter part of the median fits into the longer part of the median.

Centroid Triangle by Susan

Above you see two pictures of the same triangle. So to begin with, the triangle was made on July 20, 2007 by Jenny T. and Susan L.. To make this triangle we had to first we had to draw is on the patty paper. But draw a large one that can Be fit on the cardboard. When finished on the patty paper, we traced or pierced the points of the vertices and midpoints onto the cardboard and connected them to make a triangle with medians that would be the line that was connected by the midpoint and the opposite vertex. We did this 3 times, after that you would see that there is a spot or point that all the medians intersect and that point would be called the centroid so its also the center of gravity or mass for on first picture you see that we balanced on a pencil. If you want to make sure that the centroid is the center of gravity or mass you can balance it on a pencil like the first picture that shows it or measure the lines that are on the triangle that is split by the centroid point. After the measurements. You then, Make a fraction out of them like of the two lines that are split by the centroid it becomes S1 over L1 since S equals to the short line and the L equals to the long line of the median so you do it, also to the other medians and you will find that they all equal to one half but in different numbers. IT'S EASY TO MAKE A CENTROID TRIANGLE!!