In this activity, segments [i]AC[/i] and [i]AB[/i] have fixed lengths. Use the slider to adjust the measure of angle [i]B[/i], which is also fixed. Then, drag point [i]A[/i] along the circle to explore different triangle possibilities.[br][br][list][*]Can you create [b]more than one triangle[/b] using the two given side lengths and one given angle?[/*][/list][br][list][*]What does this reveal about using the [b]Law of Sines[/b] when you know [b]two sides and a non-included angle[/b] (SSA)?[br][/*][/list][br][list][*]Try adjusting the distance between point [i]B[/i] and point [i]C[/i]. How does this change the number of triangles you can form?[br][/*][/list]

Adapted from Kathryn Brenneman http://www.geogebratube.org/student/m23248.