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\times(7+4)=3\times(3+x)$$4\times11=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

$\begin{gathered} \frac{35}{3}=\frac{3x}{3} \\ 11\frac{2}{3}=x \end{gathered}$

x = 11.66667

x = 11.67