document.write( "Question 618577: If ABC is a right isosceles triangle whose hypotenuse is 4 units long, how long is each of the legs? \n" ); document.write( "
Algebra.Com's Answer #388997 by John10(297)![]() ![]() You can put this solution on YOUR website! If ABC is a right isosceles triangle whose hypotenuse is 4 units long, how long is each of the legs?\r \n" ); document.write( "\n" ); document.write( "You know that the right isosceles triangle has one right triangle and two EQUAL legs.\r \n" ); document.write( "\n" ); document.write( "Apply the Pythagorean Theorem of the right triangle\r \n" ); document.write( "\n" ); document.write( "Let one leg is x and other leg is y\r \n" ); document.write( "\n" ); document.write( "we know that x = y\r \n" ); document.write( "\n" ); document.write( "so we will have 4^2 = x^2 + y^2 \n" ); document.write( "x^2 + y^2 = 16 \n" ); document.write( "x^2 + x^2 = 16 because x = y \n" ); document.write( "2x^2 = 16 \n" ); document.write( "x^2 =8 \n" ); document.write( "x = sqrt(8)\r \n" ); document.write( "\n" ); document.write( "so each leg will be sqrt(8) units\r \n" ); document.write( "\n" ); document.write( "John10:) \n" ); document.write( " |