In a ABC, the line segments AD, BE and CF are three altitudes. If R is the circumradius of the ABC, a side of the DEF will be

JEE Advanced Mathematics question

Not in JEE syllabus

In a , the line segments AD, BE and CF are three altitudes. If is the circumradius of the , a side of the will be

Answer: (A),(D)

(Acute triangle assumed, as in the book's figure.) In : and , so with ratio (since with the common angle A, matching ,

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Question ID VK-108746