Answer:
HN = 102 units
LJ = 90 units
GJ = 176 units
Explanation:
Since, point N inside the triangle is the circumcenter of the given circle,
HN = GN = NJ = Radii of the circle
Therefore, measure of HN = measure of GN = measure of JN = 102 units
By applying Pythagoras theorem in ΔNLJ,
JN² = NL² + LJ²
(102)² = (48)² + (LJ)²
(LJ)² = (102)²- (48)²
LJ = √8100
LJ = 90 units
m(GJ) = 2[m(GK)] [Since NK bisects GJ]
= 2(88)
= 176 units