Answer:
D. 12.4
Step-by-step explanation:
We are given the figure with measurements,
PT = y
PA = 7
AB = 15
where P, T, A and B are located as in the figure below.
Now, we know the formula that,
[tex]PT^{2}=PA \times PB[/tex]
i.e. [tex]y^{2}=7 \times (15+7)[/tex]
i.e. [tex]y^{2}=7 \times 22[/tex]
i.e. [tex]y^{2}=154[/tex]
i.e. y= ± 12.4
Since, the length cannot be negative.
Thus, option D i.e. y = 12.4 is correct.
