Express the radius of the circle.
更新1:
Yes. The question ask the radius of circle not the radius of semi-circle (AC).
F4 Maths?
2008-07-06 2:57 am
triangle ABC is equilateral with height h. It is inscribed in a circle. S is a semi-circle with AC as the diameter.
Express the radius of the circle.
Express the radius of the circle.
回答 (2)
2008-07-06 3:27 am
✔ 最佳答案
AC as the diamter and AB=AC=BC (prop. of equil treangle)
The area of the triangle ,
(1/2) * L^2 * sin60o
or
(1/2)* h * L
so
(1/2) * AC^2 * sin60o = (1/2)* h * AC
AC sin60o = h
AC = h/sin60o
The radius is AC/2 = h/(2sin60o) = h/sqrt(3) ..
2008-07-05 19:27:24 補充：
Did i misunderstand your question -.-?
2008-07-06 3:15 am
There are two circles: one is the circle that ΔABC is insscribed, and another is that with AC as the diameter. These two Δs are not the same.
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