Pythagorean Theorem (Ladder)
Pythagorean Theorem (Ladder)
The Pythagorean theorem relates the sides of a right triangle — here a ladder, the wall height it reaches and its base distance.
The hypotenuse is c = √(a² + b²). where a and b are the two perpendicular sides.
Inputs
a := 4 m=4 m
b := 1.5 m=1.5 m
Apply the Pythagorean theorem.
c := sqrt(a^2 + b^2)=4.27 m
Results
The ladder length is the hypotenuse. The same relation gives diagonal bracing lengths, cable runs and any right-triangle geometry.
Assumptions & limitations
- Right angle between the two sides.
- Straight, rigid members.
- Planar geometry.