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### TRIANGLE INEQUALITY THEOREM.pptx

2. Let’s make a TRIANGLE GeoGebra.com
3. Situation: You have 2 Sets of Sticks in your hand and you need to connect it form a Triangle . Set A Sticks is made up of 3 sticks measures, 10 cm , 9cm , 5cm and Set B Sticks is made up of 3 sticks also measures 9cm , 6cm , 2 cm
4. PROCESS QUESTIONS 1. What have you observed in Set A Sticks can they form a triangle? 2. What have you observed in Set B Sticks can they form a triangle?
5. Fill the table below A + B A + C B + C In SET A, 10cm, 9 cm, 5 cm Let A = 10 Let B = 9 Let C = 5 In SET B, 9cm, 6cm, 2 cm Let A = 9 Let B = 6 Let C = 2 10+9 10+5 9 + 5 19 15 14 C = 5 B = 9 A =10 > > > A + B A + C B + C 9+6 9 + 2 6 + 2 15 11 8 C = 2 B = 6 A =9 > > <
6. Base on activity, What can you say about making Triangle? How can we say that the 3 given sides are the sides of the Triangle?
7. Triangle Inequality Theorem
8. Triangle Inequality Theorem In any Triangle, the sum of the lengths of any two of its sides is greater than the length of its third side.
9. Determine if each set of segments can form a TRIANGLE. Example 1. 9 cm, 6 cm, 2 cm 9 + 6 = 9 + 2 = 6 + 2 = 15 8 11 2 6 9 > > < NOT a TRIANGLE
10. Determine if each set of segments can form a TRIANGLE. Example 1. 15 cm, 12 cm, 16cm 15 + 12 = 15+ 16 = 12 + 16 = 27 28 31 16 12 15 > > > A TRIANGLE
11. Lets Try it in QUIZIZZ….
12. Triangle Inequality Theorem In any Triangle, the sum of the lengths of any two of its sides is greater than the length of its third side. GENERALIZATION
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