document.write( "Question 62782: I am trying to write a proof for a Geometry problem and can not figure the proof out. Given triangle ABC is equilateral then prove m\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #43619 by jai_kos(139)![]() ![]() ![]() You can put this solution on YOUR website! Consider an equilateral triangle,\r \n" ); document.write( "\n" ); document.write( "all the sides are equal.\r \n" ); document.write( "\n" ); document.write( "Let the all the sides of triangle = 1cm\r \n" ); document.write( "\n" ); document.write( "And A be the angle of the first side, \n" ); document.write( "B be the third angle for the second side. \n" ); document.write( "c be the second angle for the third side \n" ); document.write( "Now we know the sine rule,\r \n" ); document.write( "\n" ); document.write( "SinA / first side = Sin B /second side = SinC /third side \r \n" ); document.write( "\n" ); document.write( "SinA /1 = sinB / 1 = Sin C/1\r \n" ); document.write( "\n" ); document.write( "SinA =SinB =SinC\r \n" ); document.write( "\n" ); document.write( "A =B=C \n" ); document.write( "We know that the sum of the triangle is equal to 180 degree,\r \n" ); document.write( "\n" ); document.write( "angleA+ angleB + angle C = 180\r \n" ); document.write( "\n" ); document.write( "Since all the angles are same,\r \n" ); document.write( "\n" ); document.write( "We write the above equation as,\r \n" ); document.write( "\n" ); document.write( "3angle A = 180\r \n" ); document.write( "\n" ); document.write( "angle A =180 /3 = 60\r \n" ); document.write( "\n" ); document.write( "Angle A =angleB=Anglec= 60\r \n" ); document.write( "\n" ); document.write( "or measure of A = 60\r \n" ); document.write( "\n" ); document.write( " measure of B =60 \n" ); document.write( " \n" ); document.write( " measure of c = 60 \n" ); document.write( " \n" ); document.write( " |