Question

Note that

a2 + b2 = c2.


To work under a car, a mechanic drives it up steel ramps like the ones shown below. Find the length of each side of the ramp.
a = ft
b = ft
c = ft

Answer 1

`(x + 1)^(2) + {x}^(2) = (x + 2)^(2) \\ x ^(2) + 2x + {1}^(2) + {x}^(2) = {x}^(2) + 4x + {2}^(2) \\ 2 {x}^(2) + 2x + 1 = {x}^(2) + 4x + 4 \\ {x}^(2) - 2x - 3 = 0`
Solve quadratic equation:
x= 3 or x=-1 (rejected.because length cannot be negative)