document.write( "Question 586427: how large are the congruent angles of an isosceles triangle that is exactly as tall as it is wide \n" ); document.write( "
Algebra.Com's Answer #373743 by stanbon(75887) ![]() You can put this solution on YOUR website! how large are the congruent angles of an isosceles triangle that is exactly as tall as it is wide \n" ); document.write( "----------- \n" ); document.write( "Draw an isosceles triangle. \n" ); document.write( "Let the base be 2x \n" ); document.write( "Then the height is 2x \n" ); document.write( "-------- \n" ); document.write( "Draw the height as a perpendicular bisector of the base. \n" ); document.write( "---- \n" ); document.write( "You have 2 right triangles. \n" ); document.write( "Each has base = x and height = 2x \n" ); document.write( "---- \n" ); document.write( "Let theta be the acute angle on the base. \n" ); document.write( "--- \n" ); document.write( "Equation: \n" ); document.write( "tan(theta) = 2x/x = tan(theta) = 2 \n" ); document.write( "-------------------- \n" ); document.write( "theta = arctan(2) = 63.43 degrees \n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |