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Sagot :
A circle with two chords is given with length X, 8, x-12, 12. Thus, The value of x is 24.
What is the relation between line perpendicular to chord from the center of circle?
If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.
Or
|AC| = |CB|
Using the theorem of intersecting chords
[tex]12x =8(x-12)\\\\12x = 8x - 96\\\\12x - 8x = 96\\\\4x = 96\\\\x = 24[/tex]
The value of x is 24.
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