The diagram below shows a kitchen floor plan. When architects design a kitchen, they often consider the distances between the following three major work locations shown in the diagram:

• the refrigerator, indicated by R
• the sink, indicated by S
• the cooking area, indicated by C

When these three locations are connected, a triangle known as the "Work Triangle" is formed. This is the area that has the highest amount of traffic in a kitchen. The shaded area in the diagram is the Work Triangle.

a.What is d, the distance, in feet, along the side of the Work Triangle from the sink to the refrigerator? Show or explain how you got your answer.

(note that the 30-60-90 right triangle is half of an equilateral. How does this help?)

b.What is h, the height, in feet, of the Work Triangle? Show or explain how you got your answer.

c.What is the area, in square feet, of the Work Triangle? Show or explain how you got your answer.

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