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.
by
Agnishom Chattopadhyay