jellomellop
Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

How do you solve law of cosine?​

How Do You Solve Law Of Cosine class=

Sagot :

Draw and label a standard Oblique Triangle, as we’ve done in our previous lessons.

Determine the given congruence, either SAS or SSS, and pick the equation that helps you solve for either a missing side or angle.

Plug into your chosen equation and solve.

The "Law of Cosines" can be used to calculate one side of a triangle when the angle opposite and the other two sides are known. The "Law of Cosines" can be expressed as c2 = a2 + b2 - 2 a b cos C (1)

The cosine rule is an extension of this mathematic principal that makes it effective for non-right triangles and states that in regard to a certain angle, the square of the side of the triangle opposite that angle is equal to the squares of the other two sides added together, minus two times both..

DWRead

Answer:

Step-by-step explanation:

Use the Law of Cosines when you know the lengths of two sides, and the angle between them. That is not the case here. You know b=24, c=21, and B=61°, but B is not between b and c.

Use the Law of Sines.

sinC/c = sinB/b

sinC = c×sinB/b

C = arcsin(c×sinB/b)

= arcsin(24sin61°)/21)

≈ 49.9°

A = 180° - B - C ≈ 69.1

a/sinA = b/sinB

a = sinA×b/sinB

= sin(69.1°)×21/sin(61°)

≈ 25.6 units

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.