Answer:
The answer is C.
Step-by-step explanation:
In Circle Theorem, it is given that tangent is 90° to the radius of circle. We can use Pythogaros' Theorem as it can only be used in a right-angle triangle. The formula of Pythogaros' Theorem is hypo² = side² + side² :
AC = CE + EA
= 7 + 18
= 25 units
hypo = AC
= 25 units
side = CD & AD or BC & AB
The question wants us to find the length of one of the tangent segment which is either AB or AD as both of them are tangent to the circle so they will also give the same answer :
Let's find AB,
AB² = AC² - BC²
= 25² - 7²
= 625- 49
= 576
AB = √576
= 24 units
Let's find AD,
AD² = AC² - CD²
= 25² - 7²
= 576
AD = √576
= 24 units
