108k views
0 votes
List the sides of triangle LMN in ascending order if L= 65 and M= 44

List the sides of triangle LMN in ascending order if L= 65 and M= 44-example-1

2 Answers

3 votes

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 .

User Landsteven
by
5.9k points
2 votes

we are given

angles of triangle are


L=65


M=44

now, we can find angle N

we know that sum of all angles in any triangle is 180


L+M+N=180

we can plug values


65+44+N=180

we can find N


N=71

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


N>L>M

so, corresponding sides will also be in same order

we get


n>l>m

or


LM>MN>LN

so, option-A.........Answer

User Chris Laplante
by
5.9k points