futureroller45
Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

10 POINTS!!! Label the sides of the triangle (a, b, and c). Use the Law of Cosines and the Law of Sines to solve the triangle. Round your answer to the nearest whole number.

10 POINTS Label The Sides Of The Triangle A B And C Use The Law Of Cosines And The Law Of Sines To Solve The Triangle Round Your Answer To The Nearest Whole Num class=

Sagot :

sqdancefan

Answer:

  c = 29, A = 48°, B = 54°

Step-by-step explanation:

The unknown side is c. Using the last Law of Cosines formula, we find it to be ...

  c² = a² +b² -2ab·cos(C)

  c² = 22² +24² -2(22)(24)cos(78°) ≈ 840.445

  c ≈ √840.445 ≈ 29 . . . . . rounded to integer

__

The angle at B can be found using the Law of Sines. We want the angle in the numerator, so we can write the equation as ...

  sin(B)/b = sin(C)/c

  B = arcsin(b/c·sin(C)) ≈ arcsin(24/28.9904×sin(78°))

  B ≈ 54°

The remaining angle can be found using the sum of angles of a triangle:

  A +B +C = 180°

  A = 180° -B -C = 180° -54° -78° = 48°

The solution to the triangle is ...

  c = 29, A = 48°, B = 54°

View image sqdancefan
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.