# SOLUTION: 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

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 Click here to see ALL problems on Geometry Word Problems 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 Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!29^2+x^2=(x+1)^2 841+x^2=x^2+2x+1 2x+1-841=0 2x=841-1 2x=840 x=840/2 x=420 for the other side. 420+1=421 is the length of the hypotenuse. Proof: 29^2+420^2=421^2 841+176,400=177,241 177,241=177,241