document.write( "Question 233810: The area of a triangle is 30 square inches. The base of the triangle measures 2 in more than twice the height of the triangle. Find the measures of the base and the height. \n" ); document.write( "
Algebra.Com's Answer #172521 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! A=BH/2 TRIANGLE AREA FORMULA. \n" ); document.write( "B=2H+2 SUBSTITUTE (2H+2) FOR B IN THE AREA FORMULA & SOLVE FOR H. \n" ); document.write( "30=(2H+2)H/2 \n" ); document.write( "30=(2H^2+2H)/2 CROSS MULTIPLY. \n" ); document.write( "2H^2+2H=60 \n" ); document.write( "2H^2+2H-60=0 DIVIDE ALL TERMS BY 2. \n" ); document.write( "2(H^2+H-30)=0 \n" ); document.write( "2(H+6)(H-5)=0 \n" ); document.write( "H-5=0 \n" ); document.write( "H=5 ANS. FOR THE HEIGHT. \n" ); document.write( "B=2*5+2=10+2=12 ANS. FOR THE BASE. \n" ); document.write( "PROOF: \n" ); document.write( "30=5*12/2 \n" ); document.write( "30=60/2 \n" ); document.write( "30=30 \n" ); document.write( " |