21,971 views
29 votes
29 votes
In LMN, S is the centroid. If SQ=22 find LS

In LMN, S is the centroid. If SQ=22 find LS-example-1
User Cwarny
by
3.5k points

1 Answer

21 votes
21 votes

In this problem we know that SQ is equal to 22, we also know that the angle Q is equal to 90º and all the angles in the middle are the same and will be:


(360)/(6)=60

So if we separete each triangle we can find the missing angle that will be equal to 30º like this:

So now we can use the sin law to find the side SN that will be equal to the side LS so:


\begin{gathered} (22)/(\sin(30))=(SN)/(\sin (90)) \\ SN=(22)/((1)/(2)) \\ SN=44 \end{gathered}

So the lenght of LS is 44

In LMN, S is the centroid. If SQ=22 find LS-example-1
User Asimo
by
3.5k points