IM2.6.7 Similar right triangles 1

SRT 1
1. Below, construct square ABCD using the Regular Polygon tool [icon]/images/ggb/toolbar/mode_regularpolygon.png[/icon].[br]2. Construct segments [icon]/images/ggb/toolbar/mode_segment.png[/icon] AC (diagonal), CD, DA.
SRT 1: Compare
Compare your segment lengths with those of your partner.[br]1. Are your segments all the same length?[br]2. Calculate the ratios [math]\frac{AD}{DC},\frac{AD}{AC},\frac{DC}{AC}[/math] and compare these with your partner. Are your ratios the same?[br]3. Explain why your last answer has to be true.
4. The triangle above is one of the [b]special right triangles[/b] we'll be working with. It's called a 45-45-90 triangle, or an isosceles right triangle. Use the Pythagorean theorem to calculate [b]exactly[/b] h in terms of L and L in terms of h.[br]h=?[br]L=?
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Information: IM2.6.7 Similar right triangles 1