Given: ∆ABC, m∠A = 35°, Circle k(O, r=3), O∈ AB, AB is a diameter in the circle passing through point O. AC and CB are chords which intersect. Not stated that

Question

Given: ∆ABC, m∠A = 35°, Circle k(O, r=3), O∈ AB, AB is a diameter in the circle passing through point O. AC and CB are chords which intersect. Not stated that <ACB is 90 degrees.
      Find: Perimeter of ∆ABC

Smally · Accepted Answer

Thank you

oobleck · Answer

angle ACB is in fact 90°, since AB is a diameter. So the perimeter is p = AB + CB + CA = 6 + 6sin35° + 6sin55°