CAT 2004 Question Paper Question 27

Question 27

On a semicircle with diameter AD, chord BC is parallel to the diameter. Further; AD and BC are separated by 2cm, while AD has length 8. What is the length of BC?

Solution

In the triangle BEO, BE = $$\sqrt{4^2-2^2}$$ = $$2\sqrt3$$

==> BC = $$4\sqrt3$$

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