3cm
3. In the figure the perimeter of triangle ABC is
6cm
A) 11 cm
B) 15 cm
C) 22 cm
D)

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)”

1. Answer:

   30 is the answer for this questions

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2. 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.

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