4 years ago

A. 12 b. 14 c. 8 d. 6

Mathematics

1 answer:

jolli1 [7]4 years ago

5 0

Answer:

d. 6

Step-by-step explanation:

The product of lengths to the near and far intersection points is the same for both secants:

PB×PA = PD×PC

We can use this relation to solve for x, then use the value of x to find PD.

7×12 = (3x)(7x)

4 = x² . . . . . . . . . divide by 21

2 = x . . . . . . . . . . take the square root

PD = 3x = 3·2

PD = 6

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