[color=#1e84cc]In this special right triangle, [math]\angle[/math]B is 60, and [math]\angle[/math]C = 30. The ratio of AC/BC is represented by [b]a[/b], and the ratio AB/BC is represented by [b]b[/b].[/color]
[color=#1e84cc]Drag point A and notice what happens to the ratios as the triangle changes dynamically.[/color]
[color=#9900ff]What does this mean for the ratio of these special right triangles?[br][br]Side AB is opposite the 30 degree angle, while BC is the hypotenuse. Write the ratio using those terms.[/color]
[color=#1e84cc]In this special right triangle [math]\angle[/math]B is 45 and [math]\angle[/math]E is 45. The ratio EC/BE is represented by [b]a[/b]. [/color]
[color=#1e84cc]Drag a vertice and notice what occurs in regard to the ratio? [/color]
[color=#9900ff]This triangle would be classified as what type of triangle? Think in terms of angles and sides.[br][br]What does the ratio represent in terms of the sides? Think using the terminology from the previous triangle.[/color]