Question

if figure pa and pb are tangents such that pa = 9cm and APB = 60° Find AB​

Answer 1

Answer:

AB= 9cm

Step-by-step explanation:

PA = 9cm

PA =PB (Tangent drawn from same point to same circle are equal)

PB = 9cm

angle APB = 60 °

angle ABP = angle BAP(angle opposite to equal sides are equal) -------1

Now,

In Triangle APB :

angle APB + angle ABP + angle BAP = 180° ( Angle sum property) ------2

60° + angle ABP + angle BAP = 180°

2 angle ABP = 180°- 60°

2 angle ABP = 120 °

angle ABP = 60°

angle BAP = 60° ( Eq 2)

Hence, Triangle APB is an equilateral triangle

Therefore AB = 9cm