document.write( "Question 54441: In a right triangle, one leg is 4 times the other. The hypotenuse squared is 153. what is the area of the triangle? \n" ); document.write( "
Algebra.Com's Answer #36694 by stanbon(75887) ![]() You can put this solution on YOUR website! In a right triangle, one leg is 4 times the other. The hypotenuse squared is 153. what is the area of the triangle? \n" ); document.write( "--------------- \n" ); document.write( "Let one of the legs be \"x\" \n" ); document.write( "The other is \"4x\" \n" ); document.write( "EQUATION: \n" ); document.write( "x^2 + (4x)^2 = 153 \n" ); document.write( "x^2 + 16x^2= 153 \n" ); document.write( "17x^2= 153 \n" ); document.write( "x^2=9 \n" ); document.write( "x=3 \n" ); document.write( "4x= 12 \n" ); document.write( "The area = (1/2)(base)(height) \n" ); document.write( "area= (1/2)(3)(12)= 18 sq units. \n" ); document.write( " |