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

  1. 👍 0
  2. 👎 0
  3. 👁 108
asked by Leasha
  1. 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

    1. 👍 0
    2. 👎 0
    posted by Damon
  2. Thanks so much!

    1. 👍 0
    2. 👎 0
    posted by Leasha

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    There is a shape first a regular triangle inscribed in a circle, and inscribed in a square, inscribed in a circle, inscribed in a pentagon, etc. so polygon circle polygon circle, etc. the radius of the first circle is 1, find an

    asked by Andre on February 22, 2016
  2. GEOMETRY CIRCLE

    1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is on circle b

    asked by BARBIE LEE on December 8, 2013
  3. GEOMETRY CIRCLES PLEASE

    HELP ME PLEASE. 1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q

    asked by BARBIE LEE on December 8, 2013
  4. GEOMETRY CIRCLES PLEASE

    1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is on circle b

    asked by BARBIE LEE on December 7, 2013
  5. 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

    asked by Anonymous on November 16, 2014
  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?

    asked by Katy on March 29, 2011
  7. math

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

    asked by shafa on March 7, 2019
  8. Maths

    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

    asked by Mithun raj on December 6, 2017
  9. 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? Sorry The triangles edges don't touch the circle,

    asked by Emily on April 4, 2007
  10. Geometry about the circles

    1. Ab is a chord of a circle with center o and radius 52 cm . point m divides the chord ab such that am = 63 cm and mb=33 cm find om 2. A circle is inscribed in a triangle whose sides are 10, 10 and 12 units . a second smaller

    asked by Talon on December 10, 2013

More Similar Questions