207k views
1 vote
Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

a = 7.3 in.
b = 13.2 in.
c = 15.8 in.

A = 27.3°, B = 56.1°, C = 96.6°
No triangle satisfies the given conditions.
A = 29.3°, B = 54.1°, C = 96.6°
A = 25.3°, B = 56.1°, C = 98.6°

User Seifolahi
by
7.8k points

1 Answer

3 votes

Answer:

  • A) A = 27.3°, B = 56.1°, C = 96.6°

Explanation:

Use the Law of Cosines:

  • A = arccos [(b² + c² - a²)/(2bc)] = arccos [(13.2² + 15.8² - 7.3²)/(2*13.2*15.8)] = 27.3°
  • B = arccos [(a² + c² - b²)/(2ac)] = arccos [(7.3² + 15.8² - 13.2²)/(2*7.3*15.8)] = 56.1°
  • C = 180° - (A + B) = 180° - (27.3° + 56.1°) = 96.6°

Correct choice is A.

User Jrosell
by
7.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories