Question

Ab is a diameter and ac is a chord of a circle such that bac 30

Answer 1

Step-by-step explanation:

Construction : Join OC and BC

InΔAOC

OA = OC (radii of same circle)

ACO = OAC = 30

AOC = 180 - (30 + 30) = 120

AOC + BOC = 180 (linear pair)

BOC = 180 - 120 = 60

OCB = 90 - 30 = 60

BCD = 90 - 60 = 30

In ΔOCD

ODC = 180 - (60 - 90) , 30

In ΔBCD

BCD = BDC =30

BD = BC

Hence proved