Question

If AB, AC, PQ are tangents in the figure and AB = 5 cm. The perimeter of $△APQ$ is

• A. 12 cm
• B. 8 cm
• C. 10 cm
• D. 15 cm

Answer 1

The correct option is C 10 cm

Since $AB$ and $AC$ are the tangents from the same point $A$
$\therefore AB=AC=5cm$
Similarly, $BP=PX$ and $XQ=QC$
Perimeter of $\Delta APQ=AP+AQ+PQ$
$=AP+AQ+(PX+XQ)$
$=(AP+PX)+(AQ+XQ)$
$=(AP+BP)+(AQ+QC)$
$=AB+AC=5+5=10cm$.