Exploring Triangles
How Many Triangles: Side-Side-Angle (Acute)
Below you have been given a side length to adjust, a second side length , and an angle measure . For each side length of , how many triangles could you create with that side, side, and angle? Remember that in order for , then the third leg of the triangle must be on the x-axis.
Type in a length for , then move the endpoint to adjust the position of the first side.
Click the refresh icon, in the top-right corner of the applet, to reset the applet.
SSA Applet - Acute Angle
Take a moment and summarize what you have learned. Does the length of the first side help determine how many triangles are possible? Is there a pattern?
How Many Triangles: Side-Side-Angle (Right or Obtuse)
What changes when the angle measure is not acute? For each side length of , how many triangles could you create with that side, side, and angle? Remember that in order for , then the third leg of the triangle must be on the x-axis.
Type in the value of , then move the endpoint to adjust the position of the first side.
Click the refresh icon, in the top-right corner of the applet, to reset the applet.
SSA Applet - Right or Obtuse Angle
Take a moment and summarize what you have learned. Does the length of the first side help determine how many triangles are possible? Is there a pattern?