How would you find x using these medians of a triangle?

Find x if
#JU=2x# and #FU=x-1#

1 Answer

#x=-1/3#

Explanation:

We know that medians divide each other into a ratio #2:1# from vertex to the side

Now, we have the ratio of segments #JU=2x# & #FU=x-1# of a median #JF# equal to #1:2# as follows

#{JU}/{FU}=1/2#

#\frac{2x}{x-1}=1/2#

#4x=x-1#

#3x=-1#

#x=-1/3#