Answer:
x = 3
LP = 3.5
Step-by-step explanation:
JK and LK are chords of the circle each of 7 units long.
Therefore,
JK = LK
Equal chords are equidistant from the center of the circle.
So,
PS = NS
4x - 6 = 6
4x = 6 + 6
4x = 12
x = 12/4
x = 3
LP = LK/2 ( Perpendicular dropped from the center of the circle to the chord bisects the chord)
LP = 7/2
LP = 3.5 units
