Question

Ab is tangent to circle o at a. the diagram is not drawn to scale. if ao =30 and bc = 48 what is ab?

a) 84
b) 78
c) 76
d) 72

Answer 1

Answer:

91.19

Step-by-step explanation:

From the given diagram;

BO = 2 BC

BO = 2(48)

BO = 96

To get AB, we will use the pythagoras theroem;

BO² = AB² + AO²

96² = AB² + 30²

9216 = AB² + 900

AB² = 9216 - 900

AB² = 8,316

AB = √8,316

AB = 91.19

Hence the length of AB is 91.19