Question

Intersection of Chords

Answer 1

Find x

Answer 2

It's not 4

Answer 3

@AZ

Answer 4

so

8 *4 = 2 * x

solve for 'x'

Answer 5

@Allison is given somewhere that this chords are equal length ? or how come this to @AZ ?

Answer 6

so my opinion that to find x more easy to use the proportionality of corresponding sides and in this way you can write

Answer 7

\[\frac{ x }{ 4 }= \frac{ 8 }{ 2 } => x = ?\]

Answer 8

16

Answer 9

yes in this way x = 16

Answer 10

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
@Allison is given somewhere that this chords are equal length ? or how come this to @AZ ?
\(\color{#0cbb34}{\text{End of Quote}}\)

It is the intersecting chord theorem
"When two chords intersect each other inside a circle, the products of their segments are equal."

https://www.mathopenref.com/chordsintersecting.html#:~:text=Each%20chord%20is%20cut%20into,matter%20where%20the%20chords%20are.

Your method led to the same answer :)