Impossible Triangles

Although this type of question will not feature directly in competitive exams these simple rules will help you understand triangles based question more easily.


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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