Triangle Inequalities. 2 rules FIRST: Longest side is opposite the largest angle. Smallest angle is opposite the shortest side. SECOND: The sum of any 2 sides > the length of the remaining 3rd side. If the sides are 10, 16 and 22 then…. need 3 yeses to be a yes. Yes it will form a triangle. BUT…. sides of 3, 5, 8 One NO and the answer is NO! Find all possible measures of a third side given 2 sides of a triangle. The easy way to think about this type of problem - Subtract < 3rd side < Add. Now you try… Answer here 1. 2. 3. 4. 5. 6. Answer with yes or no. If no give type why. Follow the examples. 7. Yes 10. 13. <6 8. No 6+10 < 17 not > 17 no 1+9>9 11. Yes 14. yes No 81/2+91/4<18 9.Yes 12.Yes 15.no2.5+3.5>6 not 16. B 17. O 18.S 19. SD 20. SNJ 21.PRO 22. 3 < 3rd < 11 23. (Subtract 7-4 then add 4+7) 25. 5<6th<20 4<5th<17 26. 6<2nd<8 24.2<3rd<5 27.12<12th<37