Asked by Brycen
Two sides of a triangle have lengths 4 and 7. Which of the following can NOT be the length of the third side
Answers
Answered by
mathhelper
Can't see your choices , but .......
Any side of a triangle must be less than the sum of the other two sides
so if your third side is x , where x is a positive number
x < 4+7 AND 7 < 4+x AND 4 < 7+x
x < 11 AND x > 3 AND x > -3 <----- already contained in x > 3
so
3 < x < 11 , that is, your third side must be any number between 3 and 11
So anything outside that domain would not form a triangle
Any side of a triangle must be less than the sum of the other two sides
so if your third side is x , where x is a positive number
x < 4+7 AND 7 < 4+x AND 4 < 7+x
x < 11 AND x > 3 AND x > -3 <----- already contained in x > 3
so
3 < x < 11 , that is, your third side must be any number between 3 and 11
So anything outside that domain would not form a triangle
Answered by
oobleck
7-4 < x < 7+4
so the 3rd side must be between 3 and 11
so the 3rd side must be between 3 and 11
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