Question

In above Fig. 2, $AB$, $AC$ and $PQ$ are tangents. If $AB=5cm$ and $PQ=PB+QC$, then perimeter of $\Delta APQ$ is:

• A. $10cm$
• B. $15cm$
• C. $12.5cm$
• D. $20cm$

Answer 1

The correct option is A $10cm$

Tangents drawn from the same external point are equal in length.

So, $AB=AC=5cm$ and similarly

$PQ=PB+QC$

$\Rightarrow AP+PQ+AQ=(AP+PB)+(AQ+QC)=AB+AC=10cm$

So the perimeter of $△APQ$ is $10cm$

So option A is the right answer.