The Law of Cosines states that for the triangle ABC with sides a, b, and c تی ای x ہے ۔ ای 206 In the given triangle, you know sides band c and angle A, and need to find a So you can rewrite this formula ³ - (2be コース(C -(C CH(C). Substitute known values into the alternate form of the Law of Cosines. Round your answer to three decimal places d.d. cos(4) co(108) Iyou 22 (100)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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Question
Use the Law of Cosines to determine the indicated side x. (Assume b-18 and c-22. Round your answer to one decimal place.)
108
Step 1
The Law of Cosines states that for the triangle ABC with sides a, b, and c
2²-2²-(6²
2ab
B
2²=22² +
484 +
In the given triangle, you know sides band c and angle A, and need to find a. So you can rewrite this formula
2²-2²-8²
(
(2bc
cos(4),
Step 2
Substitute known values into the alternate form of the Law of Cosines. Round your answer to three decimal places.
d
) cos(4)
2ab
²-2-(0
| cos(C)
com(108)
22 cos(108)
Transcribed Image Text:Use the Law of Cosines to determine the indicated side x. (Assume b-18 and c-22. Round your answer to one decimal place.) 108 Step 1 The Law of Cosines states that for the triangle ABC with sides a, b, and c 2²-2²-(6² 2ab B 2²=22² + 484 + In the given triangle, you know sides band c and angle A, and need to find a. So you can rewrite this formula 2²-2²-8² ( (2bc cos(4), Step 2 Substitute known values into the alternate form of the Law of Cosines. Round your answer to three decimal places. d ) cos(4) 2ab ²-2-(0 | cos(C) com(108) 22 cos(108)
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