Answer:
HN = √2600
LJ=√296
GJ = 176
Explanation:
First lets find KN because the more points we know the closer we can get to the answer
We are going to be using the pythagorean theorem a lot

We know GN(c) is 102 and GK(b) is 88 so we can fill this in

KN=√2660
We can also assume GK=KJ
so KJ=88
So KN=NJ
NJ=√2600
We know LN is 48 so we can find LJ

So LJ is = √296
We can assume LJ is equal to LH or √296
And we know LN is 48
So HN is equal to NJ or √2600
And to find GJ since GK=KJ we just multiply GK by 2
88x2
176
Hope this helps I know this is confusing but please let me know if it is right or if you have questions