Question

I need help with geo

Answer 1

There is a rule for the two secants intersect each other at a point outside the circle

The secant is a line intersects the circle at 2 points like the two lines drawn in the figure

The lines with lengths (4 + 7) and (3 + x) are two secants intersected outside the circle

Then the product of the external part (outside the circle) and the length of the secants are equal

`4*(7+4)=3*(3+x)`
`4*11=3(3)+3(x)`

we will find x

`44=9+3x`

Subtract b9 from both sides

`\begin{gathered} 44-9=9-9+3x \\ 35=3x \end{gathered}`

Divide both sides by 3

`\begin{gathered} (35)/(3)=(3x)/(3) \\ 11(2)/(3)=x \end{gathered}`

x = 11.66667

x = 11.67