Question

in the given figure PA is equal to 4 cm QB is equal to 6 cm and RP 9 cm .find the perimeter of triangle PQR​

Answer 1

Answer:

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Answer 2

Perimeter of triangle PQR is 30 cm.

Step-by-step explanation:

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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