8.3 HW: Constructing Triangles

How many triangles can be drawn with this set of conditions: (Hint:  $\angle$  means angle!)
 $\angle A:\ 30\degree$  
 $\angle B:\ 60\degree$  
 $\angle C:\ 90\degree$  

How many triangles can be drawn with this set of conditions: (Hint:  $\angle$  means angle!)
AB = 4 cm
BC = 4.5 cm
AC = 9 cm

How many triangles can be drawn with this set of conditions: (Hint:  $\angle$  means angle!)
AB = 3 units
BC = 4 units
AC = 5 units

How many triangles can be drawn with this set of conditions: (Hint:  $\angle$  means angle!)
AB = 6 inches
BC = 9 inches
 $\angle C=35\degree$  

How many triangles can be drawn with this set of conditions: (Hint:  $\angle$  means angle!)
 $\angle B=40\degree$  
 $\angle C=45\degree$  
AC = 2 feet

How many triangles can be drawn with this set of conditions: (Hint:  $\angle$  means angle!)
 $\angle B=40\degree$  
AB = 15 feet
BC = 20 feet

How many triangles can be drawn with this set of conditions: (Hint:  $\angle$  means angle!)
 $\angle A=55\degree$  
 $\angle B=45\degree$  
 $\angle C=90\degree$  

Which of the following combinations of side lengths would form a triangle? Select all that apply.

Choose the triangle that matches the given conditions. One grid square is one square unit.
Triangle TUV, where:
 $\angle V=70\degree$  
 $\angle T=40\degree$  
TU = 4 units

Choose the triangle that matches the given conditions. One grid square is one square unit.
Triangle XYZ, where:
 $\angle Z=70\degree$  
 $\angle X=40\degree$  
XY = 4 units