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

  1. 👍 4
  2. 👎 0
  3. 👁 594
  1. As you know, the intersections of the medians is 2/3 of the way from each vertex to the opposite side.

    So, the radius of the circle is 2/3 the length of the altitudes (which are also medians for equilateral triangles.

    The altitude of an equilateral triangle of side s is s/2 √3

    So, the distance from the center to the side is 1/3 * 20/2 √3 = 10/√3

    1. 👍 2
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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.

  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. Then Write an expression for the inscribed radius r in

  3. Geometry

    Which step is the same when constructing an inscribed square and an inscribed equilateral triangle? A.Connect every arc along the circle. B.Construct a circle of any arbitrary radius. C.Set the compass width to greater than half

  4. Math

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

  1. math

    an equilateral triangle of side 10cm is inscribed in a circle. find the radius of the circle? show the solution

  2. math

    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

  3. Geometry

    A circle has a radius of 6 in. The inscribed equilateral triangle will have an area of: ?

  4. Math

    Check my answers please? There are only 10 The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X: The

  1. geometry

    an equilateral triangle of side 20cm is inscribed in a circle.calculate the distance of a side of the triangle from th centre of the circle.

  2. Math

    29. An equilateral triangle of side 10cm is inscribed in a circle. Find the radius of the circle

  3. math

    ABC is a triangle inscribed in a circle centre O..angle ACB =40¡ã and line And =xcm.calculate the radius of the circle.

  4. math

    A circle is circumscribed about an equilateral triangle with side lengths of 9 units each. What is the area of the circle, in square units? Express your answer in terms of pi.

You can view more similar questions or ask a new question.