Question

PA and PB are two tangents drawn to a circle
with centre 0, from an external point P such that PA = 5 cm
and APB = 60°. Find the length of chord AB.​

Answer 1

Image is above:

solution is below:

In triangle APO we have,

PA=5cm , Angle APO=30°

tan30° = AO/AP

1/✓3= AO/6

AO=6/✓3

AO=2✓3 cm.

Answer 2

Answer:

5cm

Step-by-step explanation:

PA = 5 cm

PA=PB (properties of circle)

<APB=60°

<PAB+<PBA=180-<APB=180-60=120

<PAB=<PBA=<APB=60°

so ∆APB is a equilateral triangle

AB=5cm