3cm

3. In the figure the perimeter of triangle ABC is

6cm

A) 11 cm

B) 15 cm

C) 22 cm

D) 30cm

P

2cm B

### 2 thoughts on “<br /><br />3cm<br />3. In the figure the perimeter of triangle ABC is<br />6cm<br />A) 11 cm<br />B) 15 cm<br />C) 22 cm<br />D)”

### Leave a Comment

You must be logged in to post a comment.

Answer:30 is the answer for this questions

By the theorem of length of tangents from an external point to a circle,

measure of PA = PC

Therefore, PC = PA = 4 cm

Now PR = 9 cm

and PR = PC + CR

Therefore, 9 = 4 + CR

CR = 9 – 4 = 5 cm

From the theorem of tangents again,

CR = BR = 5 cm

and BQ = AQ = 6 cm

Now we know the length of PR = 9 cm

length o PQ = PA + AQ = 4 + 6 = 10 cm

and length of QR = QB + BR = 6 + 5 = 11 cm

Perimeter of ΔPQR = PQ + QR + PR

= 10 + 11 + 9

= 30 cm

Therefore, perimeter of ΔPQR is 30 cm.