In Figure 7, find the perimeter of $ riangle ABC$, if $AP = 12$ cm.

[IMAGE_1]

Question

In Figure 7, find the perimeter of $	riangle ABC$, if $AP = 12$ cm.

[IMAGE_1]

Accepted Answer

Step 1: $AP = AB + BP = AB + BD$ (tangents from $B$)
Step 2: $AQ = AC + CQ = AC + CD$ (tangents from $C$)
Step 3: $\Rightarrow AP + AQ = AB + BD + AC + CD = AB + AC + BC$. But $AP = AQ$ (tangents from $A$), so $2AP =$ Perimeter of $	riangle ABC$.
Step 4: Perimeter $= 2 	imes 12 = 24$ cm

Question

Solution