Question

What is the length of the longer of the two chords shown? Length of longer chord= ? units

Answer 1

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

$4(x+3)=12(x-7)$

$4x+12=12x-84$

$12+84=12x-4x$

$96=8x$

$x=12$

Thus, the value of the chords are:

$4+x+3=4+12+3=19$ and $12+x-7=12+12-7=17$

Thus, the length of the larger chord is $4+x+3=4+12+3=19$ .

Answer 2

19 just did this assignment on e2020