document.write( "Question 924633: 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. \n" ); document.write( "

Algebra.Com's Answer #561018 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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An equilateral triangle is inscribed in a circle.
\n" ); document.write( " If the radius of the circle is 10 cm, calculate the length of a side of the triangle. Answer to nearest whole centimetre.
\n" ); document.write( ":
\n" ); document.write( "After drawing the triangle inside the circle. Draw radii from the center to vertices of the triangle to form 3 equal isosceles triangles which will have angles of 30, 120, 30, the side (s) of the of the triangle is opposite the 120 degree angle.
\n" ); document.write( "Use the law of sines to find s
\n" ); document.write( " $\"s%2Fsin%28120%29\"$ = $\"10%2Fsin%2830%29\"$
\n" ); document.write( "Cross multiply
\n" ); document.write( ".5s = .866 * 10
\n" ); document.write( "s = 8.66/.5
\n" ); document.write( "s = 17.32 ~ 17 cm
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