Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. Can these numbers be the length of the sides of a triangle? Show the math to prove your answer. Then circle YES or NO. 1) 8,9,10 2) 1, 1, 2 3) 6,9,8 yes or no yes or no yes or no
Answer:
1) yes 2) no 3) yes
Step-by-step explanation:
The lengths of the two shorter sides must be greater than the length of the longest side.
1) 8 + 9 > 10 yes
2) 1 + 1 = 2 no
3) 6 + 8 > 9 yes