math

posted by .

An equilateral triangle is inscribed in a circle. The radius of the circle is 21 in. Determine the side length of the triangle to the nearest 10th of an inch

  • math -

    3 isosceles triangles around circle center with equal legs of 21 in and included angle of 360/3 = 120 degrees
    other 2 angles are (180-120)/2 = 30 deg
    law of sines
    sin 120/base = sin 30/21
    .866/base = .5/21
    so base, which is a side of our triangle = .866 *21 * 2 = 36.4 in

  • math -

    Thanks so much!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry

    Theres a circle with an equilateral triangle in the middle. The traingles edges all touch the circle. The radius of the circle is 8 meters. How do I find the area of the triangle?
  2. geometry

    An isosceles triangle has two 10.0-inch sides and a 2w-inch side. Find the radius of the inscribed circle of this triangle, in the cases w = 5.00, w = 6.00, and w = 8.00. And Write an expression for the inscribed radius r in terms …
  3. geomery

    An isosceles triangle has two 10.0-inch sides and a 2w-inch side. Find the radius of the inscribed circle of this triangle, in the cases w = 5.00, w = 6.00, and w = 8.00. And Write an expression for the inscribed radius r in terms …
  4. Geometry

    An isosceles triangle has two 10.0-inch sides and a 2w-inch side. Find the radius of the inscribed circle of this triangle, in the cases w = 5.00, w = 6.00, and w = 8.00. Then Write an expression for the inscribed radius r in terms …
  5. geometry

    An isosceles triangle has two 10.0-inch sides and a 2w-inch side. Find the radius of the inscribed circle of this triangle, in the cases w = 5.00, w = 6.00, and w = 8.00. Then Write an expression for the inscribed radius r in terms …
  6. geometry

    An Equilateral triangle (ABC) is inscribed inside a circle. The side lengths of the triangle are 8 cm. What is the radius of the circle?
  7. Math

    An equilateral triangle is inscribed in a circle. Each side of the triangle has length x. What is the area of the circle?
  8. Math

    An equilateral triangle is inscribed in a circle. If the radius of the circle is 10 cm, calculate the length of a side of the triangle. Answer to nearest whole centimetre
  9. Math

    An Equilateral Triangle Of Side 20cm Is Inscribed In A Circle.Calculate The Distance Of A Side Of The Triangle From the Centre Of The Circle.
  10. Math

    An oblique triangle is inscribed in a circle. If one side of the triangle having a length of 10 cm and the angle subtended to that side is 20. Determine the area of the circle.

More Similar Questions