document.write( "Question 244797: A stuntman built a ramp in a shape of a right triangle. If The Base of the ramp is 12 feet long, and the length of the incline is 6 feet longer then the height, then what is the height of the ramp? \n" ); document.write( "
Algebra.Com's Answer #178970 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! A stuntman built a ramp in a shape of a right triangle. If The Base of the ramp is 12 feet long, and the length of the incline is 6 feet longer then the height, then what is the height of the ramp? \n" ); document.write( "a^2+b^2=c^2 \n" ); document.write( "12^2+b^2=(b+6)^2\r \n" ); document.write( "\n" ); document.write( "use FOIL \n" ); document.write( "multiply first terms. b*b=b^2 \n" ); document.write( "multiply outer terms b*6 \n" ); document.write( "multiply inner terms 6*b \n" ); document.write( "add together=12b \n" ); document.write( "multiply last terms 6*6=36 \n" ); document.write( "144+b^2=(b+6)(b+6)=b^2+12b+36\r \n" ); document.write( "\n" ); document.write( "subtract b^2 from both sides. \n" ); document.write( "144=12b+36 \n" ); document.write( "108=12b \n" ); document.write( "9 ft =b=height \n" ); document.write( "check \n" ); document.write( "144+81=15^2=225\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |