Question

If PA and PB are tangents from an outside point P such that PA=15cm and <APB=60. Find the length of chord AB. ​

Answer 1

We have , in tri. PAB 
Angle APB = 60° 
Therefore Sum of angles PAB + ABP = 180 °- 60°= 120° [Angle sum property] 
Now , Angle PAB = Angle ABP ( bcoz PA = PB , Tangents ) 
Therefore Angle PAB = Angle ABP= 120°/ 2= 60° 
Therefore tri. PAB is a equilateral . 
TF AB= PA= PB= 10 cm
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