Question

Ab is tangent to the circle ad=4 and bc=3 solve for x

Answer 1

C. 2√10

I took the quiz, it's correct.

Answer 2

Explanation:

alright, lets get started.

bc and cd will be same as both are radius of the circle.

`bc=cd=3`

`ac=ad+cd`

`ac=4+3`

`ac=7`

as we know ab is tangent to the circle so, triangle abc will be a right triangle.

Using Pythagorean theorem

`a^2+b^2=c^2`

`3^2+x^2=7^2`

`9+x^2=49`

Subtracting 9 from both sides

`x^2=49-9=40`

`x=√(40) =2√(10)`

So, the answer is
`2√(10)` : answer

Hope it will help. :)