Question

two tangents making an angle of 120 degree with each other and are drawn to a circle of radius 6 cm find the length of each tangent

Answer 1

Answer:2√3 cm

Step-by-step explanation:

let PA and PB BE 2 TANGENTS     LET O BE THE CENTER OF CIRCLE

AS ΔPOB AND ΔPOA    IS CONGRUENT

      THEREFORE  ∠OPB=∠OPA=120/2=60°

   IN ΔOPA

   TAN(∠OPA)=OA/PA

     TAN 60=6/PA

         √3=6/PA

           PA=6/√3

           PA=6√3/3=2√3  cm

 AS TANGENTS FROM COMMON EXTERNAL POINT ARE EQUAL

     THEREFORE PA=PB=2√3 cm