Practice with
Triangle Inequalities
Topic Index | Geometry Index | Regents Exam Prep Center

 

Answer each of the following questions related to triangle inequalities.
1. Which of the following could represent the lengths of the sides of a triangle ?
Choose one:
 1, 2, 3
 6, 8, 15
 5, 7, 9

 

 

2. Two sides of an isosceles triangle measure 3 and 7.  Which of the following could be the measure of the third side ?
Choose one:
 9
7
 3

 

 

3. In triangle ABC, m<A = 30º and m<B = 50º.  Which is the longest side of the triangle ?
Choose one:


 

 

4. In triangle DEF, an exterior angle at D measures 170º, and m<E = 80º.  Which is the longest side of the triangle ?
Choose one:


 

5. In triangle ABC, m<C = 55º, and m<C > m<B.  Which is the longest side of the triangle ?
Choose one:

6.

 


Explanation

 

 



Assume for this proof that it is known that the segment joining A to D is straight.