Question

Can someone help me out ??

Answer 1

x = 3

LP = 3.5

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