document.write( "Question 273195: base of a triangle is 7 feet more than 1/2 height, find height if area of triangle is 170 square feet \n" ); document.write( "
Algebra.Com's Answer #199604 by checkley77(12844) ![]() You can put this solution on YOUR website! B=H/2+7 \n" ); document.write( "A=BH/2 \n" ); document.write( "170=(H/2+7)*H/2 \n" ); document.write( "170=H^2/4+7H/2 \n" ); document.write( "170=(H^2+2*7H)/4 \n" ); document.write( "H^2+14H=4*170 \n" ); document.write( "H^2=14H=680 \n" ); document.write( "H^2+14H-580=0 \n" ); document.write( "H-20)(H+34)=0 \n" ); document.write( "H-20=0 \n" ); document.write( "H=20 FT. \n" ); document.write( "PROOF: \n" ); document.write( "170=(20/2+7)*20/2 \n" ); document.write( "170=(10*7)*10 \n" ); document.write( "170=17*10 \n" ); document.write( "170=170 \n" ); document.write( " \n" ); document.write( " |