Question

Plz solve this question.

Answer 1

Answer:

AB = 8r * Sqrt(2)

PA = 4r * Sqrt(2)

Step-by-step explanation:

Triangle PAC is similar to triangle PBD. So:

PA/PB = PC/PD = AC/BD = 2r/6r = 1/3

PC/PD = 1/3

=> PD = 3PC

=> CD = 2PC

=> PC = CD/2= 12r/2 = 6r

PA^2 = PC^2 - AC^2 = (6r)^2 - (2r)^2 = 32r^2

=> PA = Sqrt(32) * r = 4r * Sqrt(2)

AB = 2*AP (because PB = 3PA) = 8r * Sqrt(2)