document.write( "Question 255069: Determine the area of an equilateral triangle inscribed in a circle of radius 12 cm. \n" ); document.write( "
Algebra.Com's Answer #187355 by Greenfinch(383)![]() ![]() You can put this solution on YOUR website! Consider 1/3 of the equilateral triangle. It is a triangle with two sides of length 12 cm and the included angle of 120 degrees. Area is therefore \n" ); document.write( "1/2 x 12 x 12 x sin 120 = 72 sin 120 = 72 x (sqrt 3)/2 = 36 sqrt 3. \n" ); document.write( "So total is three times that or 108 sqrt 3 cm^2 \n" ); document.write( " |