# How to find the point of intersection of the medians of a triangle

Triangle - one of the most common geometric shapes. From the triangle line up bisector, altitude and median. If cut triangle, for example of cardboard, the point of intersection of the medians is the center of gravity of the figure.

### You will need:

- pencil; - Line; - Compasses.

## Instruction how to find the point of intersection of the medians of a triangle

Step 1:

As you know, the median - a ray from the angle of the triangle and divides the opposite side in half. In any triangle can be up to three. To determine the point of intersection of the medians of the triangle, you must first build the median. To do this, the desired Draw the triangle and divide all three of his side strictly in half. To split the segment, which is a side of the triangle into two equal parts, use a compass. Use a method called serif.

Step 2:

So take a compass needle and put it into one end of the segment-side. Expand the legs of a compass over a distance of more than half of the segment and draw an arc so that it went beyond the ends of the segment center. Now move the leg of a compass in the other end side of the triangle and draw a new arc - make notches. You have on both sides of the segment obtained by the intersection of two arcs.

Step 3:

The next step, take a ruler and connect these points of intersection. The line will pass through the exact center of the triangle sides. Do the same with the other two sides of the triangle, ie label their middle. Waste is now drawn arc pencil eraser can wipe out the washing, so they do not interfere with the further construction.

Step 4:

Now draw the median. To do this, take back and draw a line segments connecting the midpoints of the sides marked with vertices opposite corners. As a result, you get the point of intersection of the three medians of a triangle.