document.write( "Question 707457: It is believed that surveyors in ancient Egypt laid out right angles using a rope divided into twelve sections by eleven equally spaced knots. How could the surveyors use this rope to make a right angle? \n" ); document.write( "
Algebra.Com's Answer #435704 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! They could use the rope to measure out 3 units for one leg and 4 units for the other leg. Then they would use the rope to measure 5 units from one endpoint of the leg and draw a circle. That would be used to construct a 3,4,5 side length triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since 3^2 + 4^2 = 5^2 by the pythagorean theorem converse, we know that the triangle formed (3,4,5) is a right triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They would then be able to scale either leg to whatever lengths they wanted once they had the right angle. \n" ); document.write( " |