Question

AC is tangent to circle o at point C.

Answer 1

The length of AB is 18 units

Explanation:

AOC forms a right angle triangle

where,

OC is the height

AC is the base

AO is the hypotenuse

Using pythagoras theorm:

(AO)² = (OC)² + (AC)²

(AO)² = (7)² + (24)²

AO = 25 units

Length AB = ?

According to the figure:

AO = AB + BO

25 = AB + 7                     (OB is the radius of the circle)

AB = 18units

Therefore, the length of AB is 18 units