Question

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 ?

Answer 1

The length , explain that againnnnnnn

Answer 2

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.