In this applet, students are led to discover, without words or angle measures, that a 30-60-90 triangle is half an equilateral triangle. They are also led to discover that the length of the hypotenuse of a 30-60-90 triangle = double the length of its shorter leg, and are prompted to solve for the longer leg in simple radical form.

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Find out about all the details in the Introductory book (http://www.geogebra.org/book/intro-en.pdf)

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The figure below is an Arbelos, which means shoemaker's knife in Greek. The grey circle is the Inscribed Circle of the Arbelos. Drag the blue points. The red circles suggest a way to construct the inscribed circle. How should the inscribed circle be constructed?

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Radians in Unit Circle

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The Turtle is back!!!

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Find out about all the details in the Introductory book (http://www.geogebra.org/book/intro-en.pdf)

Proof of the Theorem of Pythagoras by shearing

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The perception of a rainbow depends on the observer's eyes lying in line with the different hues the white light of the Sun is turned into by raindrops. The higher these raindrops are in a rainbow, the redder they look to the observer; and the lower, the bluer.

Experiment with rotating and folding a variety of images to determine their symmetries.

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