2
Name: ___________________________________________________ Date: ______________ Triangle Inequalities Period: ____________ Triangle Inequality Theorem Triangle Inequality Theorem: • The ____________ of the two ______________________ sides of a triangle must be ______________________ than the third. (Small + Small > Third) Is it a Right Triangle? • To test if something is a right triangle, apply the ________________________ ____________. Exercises: 1. Which of the following may be the lengths of the sides of a triangle? A. 4, 6, 10 B. 8, 8, 16 C. 6, 8, 16 D. 10, 12, 14 Can it be a right triangle? 2. Two sides of an isosceles triangle have lengths 2 and 12, respectively. What is the length of the third side? A) 12 B) 8 C) 14 D) 9 3. Two sides of an isosceles triangle are 4 and 8. What is the third side? A) 8 B) 5 C) 4 D) 6 4. Two sides of an isosceles triangle are 3 and 6. What is the third side? A) 3 B) 2 C) 6 D) 5 5. A) Can 10, 6 and 8 be the sides of a triangle? B) If so, can it be a right triangle? 6. A) Can 6, 13, and 7 be sides of a triangle? B) If so, can it be a right triangle? 7. Two sides of a triangle are 3 and 8. The length of the third side must be greater than (a)______ and less than (b)______. 8. Two sides of a triangle are 5 and 13. The length of the third side must be greater than (a)______ and less than (b)______.
