text: # Chord AB subtends ∠AOB = 60° at centre. If OA = 5 cm then find the length of AB (in cm).
  
  2
  by pravin3103
  
  ## Answers
  
  The Brainliest Answer!
  2014-12-28T11:23:28+05:30
  
  ### This Is a Certified Answer
  
  Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
  ∠AOB = 60°
  OA =radius = 5 cm
  OB = 5 cm
  
  Since OA=OB, it is a isosceles triangle.
  ∠ABO = ∠BAO
  
  In the triangle,
  ∠AOB +∠ABO + ∠BAO = 180°
  So ∠ABO + ∠BAO = 180-60 = 120
  ∠ABO = 120/2 = 60 and
  ∠BAO = 60
  
  SO it is an equilateral triangle. So all sides are equal.
  Hence AB = 5cm
  2014-12-28T14:47:00+05:30
  Let the triangle be AOB where ∠AOB = 60°
  Then we have AO = BO = 5 cm
  Since Δ AOB is a isosceles triangle.
  ∠ABO = ∠BAO = (180-60)/2 = 60  degree
  Hence we have, ΔAOB is an equiangular triangle hence an equilateral triangle where all sides are equal ⇒ AO = BO = AB = 5 cm
  Length of AB is 5 cm