#4=What is the area of the client’s current work triangle? How do you know? (context and clients current work triangle in images) You have been learning about the Law of Sines and the Law of Cosines. These two importantlaws allow you to solve for the unknown side lengths and angle measures in non-right triangles.Law of Cosinesa? = b2 + c2 – 2bc cos Ab2 = a² + c² – 2ac cos Bc2 = a? + b² – 2ab cos CLaw of Sinesasin A sin Bsin CYou can use each of these laws only for certain types of triangles. You need to be careful whendetermining what data you have been given and what you are looking to solve for so that youchoose the correct law.Keep this information in mind as you read through the scenario below.Dionne works for a design firm that specializes in creating inviting and functional kitchenspaces. The majority of work in any kitchen involves the refrigerator, the stove, and the sink. Theplacement of these three appliances in a kitchen form what is known as the kitchen worktriangle. Dionne's company offers both standard and custom work triangles.STRIGHT KITCHENPARALLEL KITCHENL-SHAPED KITCHEN88U 8888U-SHAPED KITCHENGSHAPED KITCHENSLAND KITCHEN888888Dionne is currently working with a client who is converting her G-shaped kitchen into an islandkitchen. Right now, the distance between the client's stove and refrigerator is 2.6 meters, thedistance between the stove and the sink is 1.46 meters, and the distance between the client'srefrigerator and sink is 2.75 meters.Use this information and what vou know about the Law of Sines and the Law of Cosines toexplore the questions below.1. Sketch a diagram of the client's current kitchen. Be sure to label all the known information. tandgeangle a=31.49degrees2.6.275angleb=68.59degreesangle c=79.92 degreesSinkStave1.46

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Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.6: The Law Of Cosines

Problem 54E

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#4=What is the area of the client’s current work triangle? How do you know? (context and clients current work triangle in images)

You have been learning about the Law of Sines and the Law of Cosines. These two important
laws allow you to solve for the unknown side lengths and angle measures in non-right triangles.
Law of Cosines
a? = b2 + c2 – 2bc cos A
b2 = a² + c² – 2ac cos B
c2 = a? + b² – 2ab cos C
Law of Sines
a
sin A sin B
sin C
You can use each of these laws only for certain types of triangles. You need to be careful when
determining what data you have been given and what you are looking to solve for so that you
choose the correct law.
Keep this information in mind as you read through the scenario below.
Dionne works for a design firm that specializes in creating inviting and functional kitchen
spaces. The majority of work in any kitchen involves the refrigerator, the stove, and the sink. The
placement of these three appliances in a kitchen form what is known as the kitchen work
triangle. Dionne's company offers both standard and custom work triangles.
STRIGHT KITCHEN
PARALLEL KITCHEN
L-SHAPED KITCHEN
88
U 88
88
U-SHAPED KITCHEN
GSHAPED KITCHEN
SLAND KITCHEN
88
88
88
Dionne is currently working with a client who is converting her G-shaped kitchen into an island
kitchen. Right now, the distance between the client's stove and refrigerator is 2.6 meters, the
distance between the stove and the sink is 1.46 meters, and the distance between the client's
refrigerator and sink is 2.75 meters.
Use this information and what vou know about the Law of Sines and the Law of Cosines to
explore the questions below.
1. Sketch a diagram of the client's current kitchen. Be sure to label all the known information.

tandge
angle a=31.49
degrees
2.6.
275
angle
b=68.59
degrees
angle c=79.92 degrees
Sink
Stave
1.46

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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