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GeoGebraGeoGebra Classroom

Turtle Triangles

Tina the turtle understands only two instructions: walk forward (a certain distance); turn counter-clockwise (a certain angle). Give Tina the instructions to walk to all three points.
1. Give Tina instructions so that they walk around the perimeter of this right angled triangle.
2. Now create your own triangle and give Tina instructions on how to walk around. Record your instructions below.

3. What instructions did you give Tina for your triangle in task 2?

4. Give Tina instructions to trace out an equilateral triangle that has side length 10, using only the instructions 'walk forward' or 'turn counter clockwise'.
5. Using a protractor and a ruler, draw an isosceles triangle and measure the sides and angles. Give Tina instructions to trace out your isosceles triangle.
6. A right angled triangle that has a 30 degree angle is special because the shortest side is exactly half the length of the hypotenuse. On paper sketch a right angle triangle with angles 30, 60, 90, hypotenuse 10 and shortest side 5. Calculate the length of the other shorter side. Give Tina instructions to trace out this right angled triangle.
7. Send Tina on a walk. The walk can be of any length however you must keep the turtle within sight at all times.

8. What instructions did you use in tasks numbers 4 (equilateral triangle); 5 (isosceles triangle) and 6 (right angled triangle with smallest angle 30 degrees)? Please write in detail!