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 $15 \text{ cm}$ and vertical run of $10 \text{ cm}.$
• 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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