SOLUTION: State if the three numbers can be the measures of the sides of a triangle 3,12,8

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Question 812133: State if the three numbers can be the measures of the sides of a triangle 3,12,8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a = 3
b = 12
c = 8


Check to see if a + b > c is true

a + b > c

3 + 12 > 8

15 > 8

Since the inequality is true, we can move onto the next part.


Check to see if b + c > a is true

b + c > a

12 + 8 > 3

20 > 3

Since the inequality is true, we can move onto the next part.


Check to see if a + c > b is true

a + c > b

3 + 8 > 12

11 > 12

Since the inequality is false, you CANNOT construct a triangle with these lengths.

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Final Answer: you CANNOT construct a triangle with these lengths. These measures are NOT sides of a triangle.