I'LL GIVE BRAINLIST!!! 1. Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
C = 109.3°
a = 5.6 km
b = 10.7 km

Respuesta :

Answer:

c=13.6km, B=47.9⁰, A=22.8⁰,

Ver imagen samuelthankgod
Ver imagen samuelthankgod
Ver imagen samuelthankgod

Using the cosine rule, the missing parts of the triangle are:

c = 13.6 km; B = 47.9°; C = 22.8°

What is the Cosine Rule?

Cosine rule is given as, c² = a² + b² ﹣ 2ab(cosC)

Given the following:

  • C = 109.3°
  • a = 5.6 km
  • b = 10.7 km

Find c using the cosine rule:

c² = 5.6² + 10.7² ﹣ 2(5.6)(10.7)(cos 109.3)

c² = 185.5

c = √185.5

c = 13.6 km.

Use the cosine rule to find A:

5.6² = 10.7² + 13.6² ﹣ 2(10.7)(13.6)(cosA)

31.36 = 299.45 ﹣ 291.04(cosA)

31.36 - 299.45 = ﹣ 291.04(cosA)

-268.09 = ﹣ 291.04(cosA)

0.9211 = (cosA)

C = cos^(-1)(0.9211)

C = 22.8°

Find B:

B = 180 - 22.8 - 109.3

B = 47.9°

Therefore, using the cosine rule, the missing parts of the triangle are:

c = 13.6 km; B = 47.9°; C = 22.8°

Learn more about the cosine rule on:

https://brainly.com/question/23720007

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