a^2 + b^2 = c^2
1)This can be seen as;
(side #1)^2 + (side #2)^2 = (hypotenuse)^2
2)Now put the numbers;
(42)^2 + (side#2)^2 = (70)^2
3)Now square the numbers
1764 + (side#2)^2 = 4900
4)Now we have to isolate the side we are trying to find, by subtracting 1764 from both sides
(side#2)^2 = 4900-1764
5)
(side#2)^2= 3136
6) Now we need to get rid of the square of side #2 (^2), to do this we have to do the opposite of a square, which is square rooting both sides.
√(side#2)^2 = √3136
7) Now the square and squareroot of of side#2 will cancel and the square root of 3136 is 56 if you plug it into your calculator
(side#2) = 56
Final Answer)
The length of the other leg is 56ft.