Ladder on the Stairs

Geometry Level 1

A ladder is placed on a stairway (as shown). What is the length of the shorter leg?

Details and Assumptions:

  • Each step has the same horizontal run of 15 cm15 \text{ cm} and vertical run of 10 cm.10 \text{ cm}.
  • Each leg of the ladder rests on the horizontal midpoint of a step.
  • The angles that the legs make with the steps are congruent.

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