Home 3. Intermediate About Pythagoras and construction of right triangle using. circles and lines with given length

About Pythagoras and construction of right triangle using. circles and lines with given length

Om Pythagoras og konstruktion af retvinklet trekant vha. cirkler og linjestykker med given længde

The Greek Pythagoras (fra the 6 century) stands as the originator of the phrase a ² b ² = c ², although it probably was not him, who arrived at the.

The phrase a ² b ² = c ² is used to determine the side lengths of a right triangle.
The right angle angle brackets is called catheter.
The last page to the right angle is called the hypotenuse.

In GeoGebra you can by just using some simple functions to find side lengths of a right triangle.

You can use the following:

Segment with given length
Segment between two points

Circle center and radius
Skæringer mellem 2 objekter
Perpendicular line
Length
Angle

Do you know the length of the 2 catheter:

METODE1

TIP! However, you should be aware of, that it can be a little difficult to put one line, so that it is perpendicular to the second line,. If you want to make sure, that your triangle is retvinklet, then you should use the next method (method 2).

  1. If you know the 2 catheter length, so you just need to construct them using. -button.
  2. Put them in the same paragraph.
  3. Rotate one line, so that it is perpendicular to the second.
  4. Connect the ends of the 2 Catheter hinanden VHA. -button.
  5. Now you have made the hypotenuse.
  6. You can press -button to find the length of the hypotenuse.
  7. You can afterwards see, if your triangle is retvinklet using. -button.
  8. Measure angle ACB.

METODE2

  1. If you know the 2 catheter length, you can construct one catheter first
  2. Press -button.
  3. Press the drawing pad and set the first point (punkt A)
  4. Enter, the length should be kateten.
  5. Press -button. (the perpendicular line)
  6. Press the first point (punkt A), you have made.
  7. Press -button. (circle of given radius)
  8. Radius of the circle should be the same length as the second side to.
  9. Where the circle intersects the perpendicular line will be the end of the second catheter.
  10. Now you can VHA. -button find the point of intersection between the circle and the perpendicular line.
  11. Connect all 3 points now using. -button
  12. You can press -button to find the length of the hypotenuse.

Do you know the length of one side to the hypotenuse:

  1. If you only know one katetes and hypotenuse length, you can construct the first catheter using. -button.
  2. Then you construct a perpendicular line using. -button, so you can form a right angle at one end of kateten.
  3. At the other end of kateten construct you a circle using. -button.
  4. Radius of the circle should be the same as the hypotenuse.
  5. Where the circle intersects the perpendicular line will be the end of the catheter, that you need to find the length of.
  6. Now you can VHA. -button find the point of intersection between the circle and the perpendicular line.
  7. You can press -button to find the length of the hypotenuse.
  8. Tryk på de 2 endpoints of the detected catheter.
  9. You can afterwards see, if your triangle is retvinklet using. -button.
  10. Measure angle ACB.

LEAVE A REPLY

Please enter your comment!
Please enter your name here

This site uses Akismet to reduce spam. Learn how your comment data is processed.