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Find CD (Circle Problem) Oympiad Level Question

Sujoy Das

06/02/2018 2 0

Question:

Solution :

Join center of third circle (say X) and B

Join center of middle circle (say Y) and mid point of CD (say Q)

Then, AYQ and AXB are similar,

=> YQ/AY = BX/AX

=> YQ = 15×5/25 = 3

=> CQ = √(CY² - YQ²) = √(5² - 3²) = 4

=> CD = 8

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