Lesson 3: Trianyle Inequanty Theoreni(S, + S, >8,) In a triangle, the sum of the lengtha of any tuo aic is greater than the length of the third side. Note: If the lengths of the sides satialy the three conditions, then we can form a triangle DE EF > DF DE + DF > EP EF DF > DE [+] uatrattie Acamplel 1) What ifI have three sticks having the following lengths (a measure of) 3cm, Scm and 10, can I form a tríangle? 10cm stick Sem atick 3cm atick

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Can you help me answer this? And explain the answer..thank you!
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 satinly the three
conditions, then we can
form a triangle
DE EF > DF
DE + DF > EF
EF + DF > DE
llststrattve xamplel:
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
look at te illuchotion
beruue
5+3> 10 FALSE
10
2.) What if I have three sticks having the following lengtha (a measure of) 4cm, 7cm and 11am,
can I form a triangle?
11cm
9cm
бст
look ut the ustrat
Answer. Yes
9+6 > 11 TRUE
9+ 11 >6 TRUE
6+ 11 > 9 TRUE
You may also use this CONCEPT
"In a triangle, the difference of the lengths of any two sides is leas than the length of the third nide"
Transcribed Image Text: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 satinly the three conditions, then we can form a triangle DE EF > DF DE + DF > EF EF + DF > DE llststrattve xamplel: 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 look at te illuchotion beruue 5+3> 10 FALSE 10 2.) What if I have three sticks having the following lengtha (a measure of) 4cm, 7cm and 11am, can I form a triangle? 11cm 9cm бст look ut the ustrat Answer. Yes 9+6 > 11 TRUE 9+ 11 >6 TRUE 6+ 11 > 9 TRUE You may also use this CONCEPT "In a triangle, the difference of the lengths of any two sides is leas than the length of the third nide"
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