the lengths of the sides of a triangle are 2n, n^2 and n+5 for what value of n do these lengths not make a triangle ?
2 answers:
The length , explain that againnnnnnn
Answer:
Step-by-step explanation:
Try n = 2
2n = 4
n^2 = 4
n+5 = 7 That works. It will make a triangle since the 2 smallest numbers are bigger than 7
Try n = 3
2n = 6
n^2 = 9
n + 5 = 8 That works. Same reason as above.
n = 4
2n = 8
n^2 = 16
n + 5 = 9 That works. Same reason.
n = 5
2n = 10
n^2 = 25
n+5 = 10 Aha! That doesn't work. the two smaller numbers only = 20.
There are likely many numbers that don't work. I'll try one more
n = 6
2n = 12
n + 5 = 11
n^2 = 36 This won't work either. Same reason as n = 5.
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