[br]Play with the interactive for a few minutes, and then try to answer the questions below.[br][br]Drag Point B to orientate the activity.
Try to create a triangle with the following dimensions. Can you do it? If so, how many triangles match the dimensions? If not, why?[br][br]Angle=[math]70^\circ[/math][br]The First Side Length (AB) = 4[br]The Second Side Length = 6
one triangle[br][br]Three triangles are on the screen (2 small and 1 larger), but only one of the small triangles meet the requirements.
Try to create a triangle with the following dimensions. Can you do it? If so, how many triangles match the dimensions? If not, why?[br][br]Angle=[math]30^{\circ}[/math][br]The First Side Length (AB) = 10[br]The Second Side Length = 6
Two triangles [br][br]Three triangles are present again (2 small and 1 large). 1 small and 1 large meet the requirements.
Try to create a triangle with the following dimensions. Can you do it? If so, how many triangles match the dimensions? If not, why?[br][br]Angle=[math]30^{\circ}[/math][br]The First Side Length (AB) = 10[br]The Second Side Length = 4
No triangles were drawn since the second side is not long enough to intersect and form a 30-degree angle.
When Triangle BDE is present, what type of triangle is it?
What is the relationship between The Second Side Length lines and the circle?
The second side length lines are the radius of the circle.
[br]Play with the interactive for a few minutes, and then try to answer the questions below.[br][br]Drag Point B to change the length of the second side AB.
Try to create a triangle with the following dimensions. Can you do it? If so, how many triangles match the dimensions? If not, why?[br][br]The First Side Length (AC) = 4[br]Angle=[math]70^\circ[/math][br]The Second Side Length = 6
one triangle can be drawn
Try to create a triangle with the following dimensions. Can you do it? If so, how many triangles match the dimension? If not, why?[br][br]The First Side Length (AC) = 10[br]Angle=[math]30^{\circ}[/math][br]The Second Side Length = 6
one triangle can be drawn
Try to create a triangle with the following dimensions. Can you do it? If so, how many triangles match the dimensions? If not, why?[br][br]The First Side Length (AC) = 10[br]Angle=[math]30^{\circ}[/math][br]The Second Side Length = 4
one triangle can be drawn
When working with congruent triangles, there is typically an assumption that the triangles can be created. Make a conjecture about why there is a SAS Criteria but not an SSA Criteria.
SAS criteria will produce one triangle, while SSA criteria can produce up to two triangles that meet the description.