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Equilateral triangle ABC is inscribed in circle O, whose radius is 4. Altitude BD is extended until it intersects the circle at E. What is the length of DE?

a) √3

b) 2√3

c) 2

d) 4√3

  • Maths -

    The altitude of an equilateral triangle is also a median.

    The medians intersect 2/3 of the way from the vertex to the opposite side.

    So, BO=4, and BD=6

    BE is the diameter of the circle, so BE=8

    so, what do you think?

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