Question

if P is the midpoint of AP prove that a p = 2 b p equals to a b​

Answer 1

Step-by-step explanation:

Question needs an improvement, P can't be midpoint of P, it should be P is the mid point of AB:

Since P is the mid point of AB

Therefore, AP = PB.... (1)

Next,

AP + PB = AB..... (2)

From (1) & (2), we have:

AP + AP = AB

$2AP = AB \: \implies \: AP = \frac{1}{2} AB \\ </p><p>2PB = AB \implies PB = \frac{1}{2} AB \: \\ \therefore \: AP = PB = \frac{1}{2} AB$