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
Answers
Answered by
1
Answer:
30 is the answer for this questions
Answered by
0
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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