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HELPPPPP Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

a = 8.6 in.
b = 13.9 in.
c = 16.5 in.
A = 29.4°, B = 57.4°, C = 93.2°
A = 33.4°, B = 55.4°, C = 91.2°
No triangle satisfies the given conditions.
A = 31.4°, B = 57.4°, C = 91.2°

Respuesta :

raphealnwobi

The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that a = 8.6 in, b = 13.9 in. and c = 16.5 in. Using cosine rule:

c² = a² + b² - 2abcosC

16.5² = 8.6² + 13.9² - 2(8.6)(13.9) * cosC

C = 91.2°

Also:

a² = b² + c² - 2bccosA

8.6² = 16.5² + 13.9² - 2(16.5)(13.9) * cosA

A = 31.4°

A + B + C = 180° (angles in a triangle)

31.4 + B + 91.2 = 180

B = 57.4°

The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°

Find out more on equation at: https://brainly.com/question/2972832

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