The average staircase has steps with a width that is 6 cm

Last updated: 7/12/2022

The average staircase has steps with a width that is 6 cm more than the height and a diagonal that is 12 cm more than the height. What is the height of the average step? a. Write a sentence explaining what you're asked to find. b. Briefly write what range of values you would expect for a reasonable solution. Also indicate the units of measure for your solution. c. Define all unknowns in terms of a single variable. (Let x = ...) Include an appropriate sketch, labeling what each unknown represents. What formula might you use? d. Using the sketch and your formula, write an equation representing this scenario. Then solve the equation. e. Write a sentence explaining your solution using the appropriate units of measurement.