Conditions for a Triangle_Triangle Inequality
The Triangle Inequality Theorem
The Sum of the Lengths of any Two Sides of a Triangle is Greater Than the Length of the Third Side.
Hence, If the 3 Sides are Labeled a, b, and c, Then Theorem Says That:
a + b > c
a + c > b
b + c > a
ACTIVITY #1
1. Start with Blue = 8 ; Green = 0 ; Orange = 0. Describe what you see. Then slowly increase both Green and Orange. What are the largest values of Green and Orange without creating a triangle?
ACTIVITY #2
2. Start with Blue = 8 ; Green = 8; Orange = 0. Describe what you see. Now slowly increase Orange. As long as Orange is greater than zero, a triangle is created... explain why ?
3. Leaving Blue and Green equal to 8, how big does Orange have to be until a triangle doesn't exist anymore ? Explain
ACTIVITY #3
4. Explain the Triangle Inequality using your own set of side lengths. In other words, create values for Blue, Green, and Orange and show the conditions that create a triangle, as well as the conditions to cause the triangle not to exist.