Question

In the figure, AC = 10 cm, AB = 8 cm, PC = 15 cm, then PB = __ cm .

• A. 9 cm
• B. 10 cm
• C. 12 cm
• D. 8 cm

Answer 1

The correct option is A

9 cm

$In\Delta ABC,$
$A{B}^2+B{C}^2=A{C}^2$
$\Rightarrow {10}^2=8^2+B{C}^2$
$\Rightarrow BC=6cm$
$\because PB=PC-BC$

$\Rightarrow PB=15-6=9cm$
$\therefore PB=9cm.$