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Re: Given an equilateral triangle ABC. What is the area of the
[#permalink]
17 Oct 2004, 12:20
Another for D
Not looking to solve the problem but info is suff to solve as there will always be one answer for a circle and equalateral triangle, inscribed or circumscribed.
Re: Given an equilateral triangle ABC. What is the area of the
[#permalink]
18 Oct 2004, 02:06
Maneesh wrote:
I understand how B is correct. I don't see how A is correct plz explain
Consider these truths:
1. Equilateral triangle meaning all angles 60degrees, correct ?
2. radious of inner circle + radious of circumcircle = perpendicular of equilateral triangle
3. perpendicular of an equilateral triangle = median of equilateral triangle = perpendicular bisector of equilateral triangle
4. thus, Circumcenter = orthocenter = incenter
5. and any side of an equilateral triangle = 2 * (perpendicular/ root 3)
Re: Given an equilateral triangle ABC. What is the area of the
[#permalink]
18 Oct 2004, 08:39
Dharmin wrote:
Maneesh wrote:
I understand how B is correct. I don't see how A is correct plz explain
Consider these truths:
1. Equilateral triangle meaning all angles 60degrees, correct ? 2. radious of inner circle + radious of circumcircle = perpendicular of equilateral triangle 3. perpendicular of an equilateral triangle = median of equilateral triangle = perpendicular bisector of equilateral triangle 4. thus, Circumcenter = orthocenter = incenter 5. and any side of an equilateral triangle = 2 * (perpendicular/ root 3)
cheers, Dharmin
and if that didn't clear it up, try this. The triangle must have 60 degrees all around, so a line drawn from the center of the circle will bisect that and make a 30 degree angle. So the triangle drawn in this diagram would have to be 30-60-90, which means you'd know everything. You could get the side of the triangle, or add the radius of the circle to the line drawn (3+6) and see that the height is 9.
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Re: Given an equilateral triangle ABC. What is the area of the [#permalink]