Staircase Heights

Geometry Level 1

An architect is trying to design a short staircase. His plan is shown in the diagram below, where all the vertical and horizontal lines meet at right angles.

In the figure below, \(AB = BC\) and \(\angle ABC=90^\circ.\) What is the height of the third step \((\)marked \(HI)?\)

Note: No variables or calculations are needed to solve this problem.

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