document.write( "Question 1135656: An architect is making a floor plan for a rectangular gymnasium. The distance between opposite corners of the gym will be 39 meters and the width will be 15 meters. What will be the length of the gym? \n" ); document.write( "
Algebra.Com's Answer #753321 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The length, width, and diagonal of the rectangle form a right triangle. This problem is solved in almost no time if you are familiar with the simplest few Pythagorean Triples. \n" ); document.write( "The hypotenuse is 39 = 3*13; one leg (the width) is 15 = 3*5. \n" ); document.write( "5-12-13 is a common Pythagorean Triple; the length is 3*12 = 36. \n" ); document.write( "ANSWER: length = 36 meters \n" ); document.write( " |