document.write( "Question 238955: The mainsail of a Lightning sailboat is a right triangle in which the hypotenuse is called the leech. If a 24ft tall mainsail has a leech length of 26 ft and if Dacron sailcloth costs $10 per square foot, find the cost of a new mainsail. \n" ); document.write( "
| Algebra.Com's Answer #175557 by nerdybill(7384)     You can put this solution on YOUR website! Draw a diagram, it'll help you find a solution. \n" ); document.write( ". \n" ); document.write( "From Pythagorean theorem: \n" ); document.write( "Let b = base of triangle \n" ); document.write( "then \n" ); document.write( "b^2 + 24^2 = 26^ \n" ); document.write( "b^2 + 576 = 676 \n" ); document.write( "b^2 = 100 \n" ); document.write( "b = 10 feet \n" ); document.write( ". \n" ); document.write( "Area of a triangle is: \n" ); document.write( "(1/2)bh \n" ); document.write( "= (1/2)(10)(24) \n" ); document.write( "= (5)(24) \n" ); document.write( "= 120 sq ft \n" ); document.write( ". \n" ); document.write( "Cost: \n" ); document.write( "10 * 120 = $1200 \n" ); document.write( " \n" ); document.write( " |