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Saurabh SIngh

· started a discussion

· 1 Months ago

good question

Question:

Adjoining are three circles, each of radius 20 and centres at P, Q and R; further

AB = 5, CD = 10 and EF = 12. What is the perimeter of  the triangle PQR?


Options:
A) 120
B) 66
C) 93
D) 87
Solution:
Ans: (c)

Since AB = 5, PA = PB - AB = 20 - 5 = 15

Similarly  RB = RA - AB = 20 - 5 = 15

Hence PR = PA + AB + BR = 15 + 5 + 15 = 35

Since CD = 10, RC = RD - DC = 20 - 10 = 10

Similarly QD = QC - DC = 20 - 10 = 10

Hence QR = RC + CD + DQ = 10 + 10 + 10 = 30

And since EF = 12, PF = PE - EF = 20 - 12 = 8

and EQ = QF - EF = 20 - 12 = 8

Hence, PQ = PF + EF + EQ = 8 + 12 + 8 = 28

Hence, perimeter of triangle  PQR = 35 + 30 + 28 = 93

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· 1 Months ago

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