document.write( "Question 228144: The hypotenuse of an isosceles triangle measurse 15 feet. Find the area.
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Algebra.Com's Answer #169419 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The hypotenuse of an isosceles triangle measures 15 feet. Find the area. \n" ); document.write( "------------------------ \n" ); document.write( "Draw the picture of a right triangle with equal legs. \n" ); document.write( "Label each leg as \"x\". \n" ); document.write( "Equation: \n" ); document.write( "x^2 + x^2 = 15^2 \n" ); document.write( "2x^2 = 15^2 \n" ); document.write( "x^2 = 15^2/2 \n" ); document.write( "--- \n" ); document.write( "x = 15/sqrt2 \n" ); document.write( "-------------------- \n" ); document.write( "Area = (1/2)base*height \n" ); document.write( "A = (1/2)[15/sqrt(2)][(15/sqrt(2)] \n" ); document.write( "A = (1/2)15^2/2 \n" ); document.write( "Area = 15^2/4 sq ft. \n" ); document.write( "Area = 225/4 sq ft. \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |