8.3 HW: Constructing Triangles

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

• 0 triangles

• 1 unique triangle

• 2 triangles

• infinitely many triangles

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

• 0 triangles

• 1 unique triangle

• 2 triangles

• infinitely many triangles

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

• 0 triangles

• 1 unique triangle

• 2 triangles

• infinitely many triangles

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

• 0 triangles

• 1 unique triangle

• 2 triangles

• infinitely many triangles

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

• 0 triangles

• 1 unique triangle

• 2 triangles

• infinitely many triangles

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

• 0 triangles

• 1 unique triangle

• 2 triangles

• infinitely many triangles

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

• 0 triangles

• 1 unique triangle

• 2 triangles

• infinitely many triangles

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

• 7 in, 10 in, 2.5 in

• 4.5 ft, 8 ft, 5 ft

• 12 in, 5 in, 9.5 in

• 7 m, 7 m, 7 m

• 6 cm, 16 cm, 9 cm

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

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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

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