Possible lengths

Find the most possible lengths for the third side of a triangle with sides 20 and 18.

Result

c = (Correct answer is: 2 < c < 38) Wrong answer

Solution:

a=20 b=18  a+b>c a+c>b b+c>a  20+18>c 20+c>18 18+c>20  38>c 2<c 2<c  c=2<c<38a=20 \ \\ b=18 \ \\ \ \\ a+b > c \ \\ a+c > b \ \\ b+c > a \ \\ \ \\ 20+18 >c \ \\ 20+c >18 \ \\ 18+c >20 \ \\ \ \\ 38 > c \ \\ -2 <c \ \\ 2 < c \ \\ \ \\ c=2 < c < 38



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