Three circles with radii 3cm. 4cm and 5cm touch each other externally.If their centres are P,Q and R, what is the perimeter of the teiangle PQR ?
a. 12cm
b. 18cm
c. 24cm
d. 36cm
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Its option C. 24cm
Let the point of contacts of the three circles be A, B and C respectively.
PA = PC = 3cm
RC = RB = 4 cm
QB = QA = 5cm
So,
PQ = 3+5 = 8 cm
PR = 3 + 4 = 7cm
QR = 4 + 5 = 9cm
Perimeter = 9+8+7 = 24cm
Hope it helps :)
janmayjaisolanki78:
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