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The lengths of the sides of a triangle are 12 , 13 and n. Which of the following must be true ?

( A ) n greater than or equal to 1

( B ) n < 13

( C ) 1 < n < 13

( D ) 1 < n < 25

Verified Answer :

konrad509

\(12+13\ \textgreater \ n \wedge 12+n\ \textgreater \ 13 \wedge 13+n\ \textgreater \ 12\\ n\ \textless \ 25 \wedge n\ \textgreater \ 1 \wedge n\ \textgreater \ -1\\ \boxed{1\ \textless \ n\ \textless \ 25}\)

mina14

12 + 13  >n
12 + n > 13
13 + n >12

n < 25
n > 1
N < -1
n = [1,25]
hope this helps
 

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