Cynthia Lanius

impossible

Determine why the triangles below could not be drawn as indicated. Select the rule that each one violates. Note: Angle measures are in degrees.


For each triangle below, select the rule that is violated.

1. Select Rule # 1, 2, 3, 4, 5, or 6
impossible
2. Select Rule # 1, 2, 3, 4, 5, or 6
impossible
3.Select Rule # 1, 2, 3, 4, 5, or 6
impossible
4. Select Rule # 1, 2, 3, 4, 5, or 6
impossible
5. Select Rule # 1, 2, 3, 4, 5, or 6
Rules:
 
1. In any triangle,
a + b > c
b + c > a
a + c > b.

 
  2. In an acute triangle,
c2 < a2 + b2.

 

 
3. In a right triangle,
c2 = a2 + b2.

 

 
4. In an obtuse triangle,
c2 > a2 + b2.

 
5. In any triangle, a < b, if and only if Angle A < Angle B. 

 
6. A triangle has all sides of equal length if and only if
all its angles are of equal measure.


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