Question

please answer very URGENTTTT
6. In the figure, AB is a diameter and AT is chord of a
circle such that BAT =30°. If DT is a tangent, then
triangle BTD is,
30°
(a) Isoscele
(C) Right angle
(b) Equilateral
(d) Acute angled​

Answer 1

Answer:

Equirateralntriangle

Step-by-step explanation:

its because :

Let O be the centre of the circle.

By tangent chord theorem∠CAB =∠BCD=30°

Also ∠OCD=90°(Angle between tangent and radius is 90 degree)

∴∠BCO=90°−30°=60°. Also ∠CBO=60° because,Angle opposite to equal sides are equal.

And hence ΔOBC must be a Equilateral triangle ∴∠COB=60°.

Also in Right Triangle OCD, ∠CDO=90°−60°=30°

So that BC=BD