### Home > INT3 > Chapter 8 > Lesson 8.2.1 > Problem8-70

8-70.

The guidelines set forth by the National Kitchen & Bath Association recommends that the perimeter of the triangle connecting the refrigerator (F), stove, and sink of a kitchen be $26$ feet or less. Lashayia is planning to renovate her kitchen and has chosen the design at right. Does her design conform to the National Kitchen and Bath Association’s guidelines? Show how you got your answer. Redraw and label the diagram as needed.

Use the Pythagorean Theorem to determine the distance between the stove and sink. Then the Law of Cosines to calculate the remaining side length of the triangle.