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) (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.
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