Question 167456: TEWNTY NINE IS THE SHORTEST LEG OF A RIGHT ANGLED TRIANGLE THE HYPOTENUS AND OTHER LEG ARE TWO CONSECUTIVE WHOLE NUMBERS. WHAT ARE THE LENGHTS OF THE LEG AND HYPOTENUS Found 2 solutions by Mathtut, checkley77:Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website! -eq where we will call a the shortest leg, b the other leg,and c the hypothenuse. Lets call b=b and c=b+1 where b and b+1 are two consecutive whole numbers. no substitute our known numbers and variables into the equation.
solving we have
other leg hypothenuse
You can put this solution on YOUR website! 29^2+x^2=(x+1)^2
x=420 for the other side.
420+1=421 is the length of the hypotenuse.