How do you draw a perpendicular line in a triangle?

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To draw a vertical line in the triangle, you don't need any magic, just a set square or a simple protractor. But even without these tools and with a simple ruler, you can easily draw this line.

With the compass, the perpendicular to the middle becomes a piece of cake.
With the compass, the perpendicular to the middle becomes a piece of cake.

What you need:

  • triangle ruler
  • ruler
  • Circle
  • pencil

Draw vertical lines in the triangle - this is how it works with the set square

A vertical line in the triangle is usually drawn with the set square. You can easily try out for yourself that this is not rocket science:

  1. First measure the center on the bottom line of the triangle - you can use a ruler or the set square.
  2. So that you can find this point again, mark it with a pencil. Be sure to work carefully.
  3. Now place the set square in the right angle and draw a vertical line through the point you just drew and the tip of the triangle. To be on the safe side, measure again whether the angle is really 90 degrees.

This is how the vertical line is drawn with the compass

It is even easier and less complicated if the vertical line is drawn in a triangle with a compass. Try it, you will be really amazed:

Construct the inner circle of the triangle - this is how it works

The inner circle of the triangle is very easy to construct. You need …

  1. First of all, of course, you need a triangle and the line on which the perpendicular should stand.
  2. Now pierce the first end point of the line with the compass and draw a semicircle that is in the middle of the triangle.
  3. Repeat the process from the second end point of the line. Make sure not to change the distance between the compasses - it must remain absolutely the same.
  4. You can see that the two semicircles you have drawn intersect at two points - this is exactly the center.
  5. Draw a line through these two points and you have easily constructed a vertical line that fits exactly to the point.

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