document.write( "Question 334477: The hypotenuse of a right triangle is 7 inches longer than the base and 14 inches longer than the height. The perimeter of the triangle is 84 inches. Find its area. \n" ); document.write( "
Algebra.Com's Answer #239655 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let hypotenuse be x \n" ); document.write( "side 1 = x-7 \n" ); document.write( "side 2 = x-14 \n" ); document.write( ".. \n" ); document.write( "x+x-7+x-14=84 \n" ); document.write( "3x-21=84 \n" ); document.write( "add 21 \n" ); document.write( "3x-21+21=84+21 \n" ); document.write( "3x=105 \n" ); document.write( "divide by 3 \n" ); document.write( "x= 35 \n" ); document.write( ".. \n" ); document.write( "base = 35-7= 28 \n" ); document.write( "height = 35-14= 21 \n" ); document.write( ".. \n" ); document.write( "Area = 1/2 * 21*28 \n" ); document.write( "=21*14 \n" ); document.write( "=294 sq. inches \n" ); document.write( " |