document.write( "Question 353810: If the altitude and the base of a triangle are increased by 2 cm the area would increase by 19 cm2 . If the altitude is increased by 3 cm and the base is decreased by 4 cm the area will decrease by 5cm2 .Find the base and the altitude of the triangle. \n" ); document.write( "
Algebra.Com's Answer #252916 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let altitude be x \n" ); document.write( "and base be y \n" ); document.write( "... \n" ); document.write( "x+2 \n" ); document.write( "y+2 \n" ); document.write( "area increased by 19 \n" ); document.write( "... \n" ); document.write( "1/2 *(x+2)(y+2)=1/2 * xy +19 \n" ); document.write( "xy+2x+2y+4 =xy+19 \n" ); document.write( "2x+2y=19-4 \n" ); document.write( "2x+2y=15.......................1 \n" ); document.write( "... \n" ); document.write( "x+3 \n" ); document.write( "y-4 \n" ); document.write( ".. \n" ); document.write( "area decreased by 5 \n" ); document.write( "... \n" ); document.write( "1/2*(x+3)(y-4)=1/2 * xy-5 \n" ); document.write( "xy-4x+3y-12=xy-5 \n" ); document.write( "-4x+3y=7.......................2\r \n" ); document.write( "\n" ); document.write( "multiply equation 1 by 2 \n" ); document.write( "4x+4y=30 \n" ); document.write( "add to equation 2 \n" ); document.write( "7y=37 \n" ); document.write( "y= 5.4 cm \n" ); document.write( "x= 2.3 cm \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |