Respuesta :
Here l = 65 and m =44 , and n must be in between l and m , since sum of two sides must be greater then third side .
So m <n<l
That is LN<LM<MN
And the correct option is fifth option .
we are given
angles of triangle are
[tex] L=65 [/tex]
[tex] M=44 [/tex]
now, we can find angle N
we know that sum of all angles in any triangle is 180
[tex] L+M+N=180 [/tex]
we can plug values
[tex] 65+44+N=180 [/tex]
we can find N
[tex] N=71 [/tex]
now, we know that
larger angle corresponds to larger length of opposite sides
for angle L = side is l
for angle M = side is m
for angle N = side is n
L=65 , M=44 , N=71
so, we can see that
[tex] N>L>M [/tex]
so, corresponding sides will also be in same order
we get
[tex] n>l>m [/tex]
or
[tex] LM>MN>LN [/tex]
so, option-A.........Answer