document.write( "Question 657301: One side of an equilateral triangle is 6cm. What is the measure of an altitude of the triangle?
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Algebra.Com's Answer #409806 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! One side of an equilateral triangle is 6cm. What is the measure of an altitude of the triangle? \n" ); document.write( "---- \n" ); document.write( "Draw the triangle. \n" ); document.write( "Draw an altitude from the base to the top vertex. \n" ); document.write( "You have 2 right triangles. \n" ); document.write( "---- \n" ); document.write( "base = 3 \n" ); document.write( "hypotenuse = 6 \n" ); document.write( "altitude = \"h\" \n" ); document.write( "---- \n" ); document.write( "Use Pythagoras \n" ); document.write( "3^2 + h^2 = 6^2 \n" ); document.write( "9 + h^2 = 36 \n" ); document.write( "h^2 = 27 \n" ); document.write( "h = sqrt(27) = sqrt(9*3) = 3sqrt(3) \n" ); document.write( "====================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |