IM2.6.7 Similar right triangles 2
SRT2
1. Construct equilateral triangle ABC using the Regular Polygon tool.[br]2. Construct a line through A perpendicular [icon]/images/ggb/toolbar/mode_orthogonal.png[/icon] to CB.[br]3. Construct point D at the intersection [icon]/images/ggb/toolbar/mode_intersect.png[/icon]of your perpendicular line and CB.[br]4. Construct segments AB, BD, DA.[br]
Compare
1. Compare your segment lengths with those of your partner. Are they the same?[br]2. Calculate the ratios [math]\frac{AD}{AB},\frac{BD}{AB},\frac{AD}{DB}[/math]. Explain why your partners ratios are exactly the same.
3. This is the other special right triangle, called a 30-60-90 triangle. Call the short leg "x", and write each of the other legs in terms of x.[br]Hyp=[br]LongLeg=