Answer:
Length of the chord= 19units
Step-by-step explanation:
It is given from the figure that there is a circle with center C and two chords are intersecting each other, and we know that when two chords of the circle intersect each other then the product of their segments are equal, thus
[tex]4(x+3)=12(x-7)[/tex]
[tex]4x+12=12x-84[/tex]
[tex]12+84=12x-4x[/tex]
[tex]96=8x[/tex]
[tex]x=12[/tex]
Thus, the value of the chords are:
[tex]4+x+3=4+12+3=19[/tex] and [tex]12+x-7=12+12-7=17[/tex]
Thus, the length of the larger chord is [tex]4+x+3=4+12+3=19[/tex] .
