Question

In the figure given below, PT is a tangent to the circle. Find PT if AT = 16 cm and AB = 12 cm.

Answer 1

PT is tangent.
Hence by theorem,
PT² = AT x BT
PT² = 16 x (AT - AB)
PT² = 16 x (16 - 12)
PT² = 16 x 4 = 64
PT = 8 cm.