The median of a triangle is a piece which connects triangle top to the middle of the opposite side. In an equilateral triangle the median is a bisector and height at the same time. Thus, the necessary piece can be constructed in several ways.
It is required to you
- - pencil;
- - ruler;
- - protractor;
- - compasses.
Instruction
1. By means of a ruler and a pencil halve the party of an equilateral triangle. Carry out the piece connecting the found point and an opposite corner of a triangle. In the same way postpone two following pieces. You drew medians of an equilateral triangle.
2. Draw height of an equilateral triangle. By means of the square lower a perpendicular from triangle top to the opposite side. You constructed height of an equilateral triangle. It is at the same time its median.
3. Construct bisectors of an equilateral triangle. Any corner of an equilateral triangle is equal 60º. Apply a protractor to one of the parties of a triangle so that the reference point coincided with triangle top. One of its parties has to go precisely in the area of the measuring device, other party to cross a semi-circle in a point with mark 60º.
4. Note a point division in 30º. Carry out the beam connecting the found point and top of a triangle. Find a beam point of intersection with the party of a triangle. The received piece is a bisector of an equilateral triangle which also is its median.
5. If the equilateral triangle is inscribed in a circle, draw the straight line connecting it top to the center of a circle. Note a point of intersection of this straight line with the party of a triangle. The piece connecting top of a triangle and its party will be a median of an equilateral triangle.