Question

In the figure, $AC=10cm,PC=15cm,AB=8cm,$ find $PB.$

• A. $6cm$
• B. $7cm$
• C. $8cm$
• D. $9cm$

Answer 1

The correct option is D

$9cm$

In $\Delta ABC,$
$A{B}^2+B{C}^2=A{C}^2$
$\Rightarrow {10}^2=8^2+B{C}^2$
$\Rightarrow BC=6cm$
$PB=PC-BC=15-6=9cm$
Hence, $PB=9cm$