Lesson 3: Triangle Inequality Theorem (S,+Sa>Sa) In a triangle, the sum of the lengths of any two st is greater than the length of the third side. Answer: No because 5+3> 10 FALSE 1 Answer: Yes Illustrative Example 1: 1.) What if I have three sticks having the following lengths (a measure of) 3cm, Som and 10, can I form a triangle? 5cm stick 3cm stick DE - EF > DF DE + DF - EF 11cm 9cm 6cm EF-DF> DE 9+611 TRUE 9+1126 TRUE 6+11 9 TRUE 10cm stick RO MIMAROPA WS Math 04 5 Note: If the lengths of th sides satisfy the three conditions, then we ca form a triangle look at the illustration 10 2.) What if I have three sticks having the following lengths (a measure of 4cm, 7cm and 11- can I form a triangle? متاهلینمه 11 You may also use this CONCEPT 'In a triangle, the difference of the lengths of any two sides is less than the length of the third side

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RO MIMAROPAWS Math8 04
Lesson 3:
Trianyle Inequanty Theoreni(S, + S, >S,) In a triangle, the sum of the lengtha of any two side
is greater than the length of the third side.
Note: If the lengths of the
sides satialy the three
conditiona, then we can
form a triangle
DE -
EF > DF
DE + DF > EF
EF - DF > DE
Illtstratte Axamplei:
1.) What if I have three sticks having the following lengths (a measure of) 3cm, Scm and 10,
can I form a tríangle?
10cm stick
Scm stick
3cm stick
Ansuer No
ook at the illtuchotion
boruuse
5+3> 10 FALSE
10
2.) What if I have three sticks having the following lengtha (a measure of) 4cm, 7cm and 1lam,
can I form a triangle?
11cm
9cm
6cm
look ut the strati
Answer. Yes
9+6 > 11 TRUE
9+ 11 >6 TRUE
6+ 11 >9 TRUE
11
You may also use this CONCEPT:
"In a triangle, the dilference of the lengtha of any two sides is leas than the length of the third nide"
Transcribed Image Text:RO MIMAROPAWS Math8 04 Lesson 3: Trianyle Inequanty Theoreni(S, + S, >S,) In a triangle, the sum of the lengtha of any two side is greater than the length of the third side. Note: If the lengths of the sides satialy the three conditiona, then we can form a triangle DE - EF > DF DE + DF > EF EF - DF > DE Illtstratte Axamplei: 1.) What if I have three sticks having the following lengths (a measure of) 3cm, Scm and 10, can I form a tríangle? 10cm stick Scm stick 3cm stick Ansuer No ook at the illtuchotion boruuse 5+3> 10 FALSE 10 2.) What if I have three sticks having the following lengtha (a measure of) 4cm, 7cm and 1lam, can I form a triangle? 11cm 9cm 6cm look ut the strati Answer. Yes 9+6 > 11 TRUE 9+ 11 >6 TRUE 6+ 11 >9 TRUE 11 You may also use this CONCEPT: "In a triangle, the dilference of the lengtha of any two sides is leas than the length of the third nide"
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