Trig 101 45°-45°-90°

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Create a 45°-45°-90° triangle below following the instructions given below:

  • Use the line tool and create a line from left to right by first clicking on this icon
  • Select an area in the lower left of the screen, click to add point A
  • Move to the right and click to add point B
  • Select . Right click on the point B and rename as point C
  • Click on the lower right of the Angle tool to select Angle with Given Size , click on C followed be A, click on OK
  • In Input bar, Type: Line[A,C'] {When you type <li> <enter> <A><,><C'> <enter>}
  • Select the Perpendicular tool , click on C and the line a
  • Select the Move tool , click on the screen, hold the shift key and drag or select () the screen,
  • To zoom move the scroll button with caution {It may be safer to use the zoom tools or beneath the .}
  • Type in the input bar: Intersect[b,c] {type <inter><enter> <b><,><c> <enter>}
  • Right click on line a and rename to a1, repeat with line b and c.
  • Hide a1, b1, and c1 by right click and selecting Show Object.
  • Also, hide C'
  • Type: Segment[B,C] {<seg><enter><B,C><enter>
  • Type: Segment[A,C]
  • Type: Segment[A,B]
  • <Ctrl><e> {opens Object Properties}
  • In left column select Segment , click on Basic tab, on Name drop down select Name & Value, and Close.
  • Scroll until the triangle fits in the screen. Move point A or point B to adjust the size to a value of 1.
  • You have created a 45°-45°-90° triangle. Answer the questions below, then Print the page using File | Print | Ok. in the browser menu.

    30° 45° 60°

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    A B Cron, March 1, 2011, Created with GeoGebra

    What happens when your move point A?

    What happens when your move point B?

    What happens when your move point C?

    Print the page using File | Print | Ok. in the browser menu.