Question

Two chords intersect with the measures shown in the drawing. What is the value of x? 0 4 -2 2

Answer 1

it is given that

the length of cords segments are

8 , 2x , 5x , 5

we know that when two chords intersect

the multiplication of the segments of the one chord will be equal the other chord

so,

$8\times5=2x\times5x$$\begin{gathered} 40=10x^2 \\ x^2=4 \\ x=2 \end{gathered}$

thus, the answer is x = 2