Question

In △JKL, Q is the centroid. If LQ=38 find LM.

Answer 1

Answer:

         LM = 57

Step-by-step explanation:

Presumably M is the midpoint of side JK.

The centroid Q divides the median JK into parts in the ratio 1 : 2.

That is, MQ is 1/3 of LM and LQ is 2/3 of LM.

So...

  LQ is 2/3 of LM

⇒  LQ = (2/3) × LM

⇒  LM = (3/2) × LQ  =  (3/2) × 38  =  3 × (38/2)  = 3×19  = 57

Hope that helps!