Answer:
Step-by-step explanation:
alright, lets get started.
bc and cd will be same as both are radius of the circle.
[tex]bc=cd=3[/tex]
[tex]ac=ad+cd[/tex]
[tex]ac=4+3[/tex]
[tex]ac=7[/tex]
as we know ab is tangent to the circle so, triangle abc will be a right triangle.
Using Pythagorean theorem
[tex]a^2+b^2=c^2[/tex]
[tex]3^2+x^2=7^2[/tex]
[tex]9+x^2=49[/tex]
Subtracting 9 from both sides
[tex]x^2=49-9=40[/tex]
[tex]x=\sqrt{40} =2\sqrt{10}[/tex]
So, the answer is [tex]2\sqrt{10}[/tex] : answer
Hope it will help. :)
