Triangle ABC has side a = 12, b = 16,
and c = 19.
Find the measure of angle C to the nearest whole number.

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deliamammersG deliamammersG

25-11-2016
Mathematics

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Triangle ABC has side a = 12, b = 16,
and c = 19.
Find the measure of angle C to the nearest whole number.

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MissPhiladelphia MissPhiladelphia · Answer 1 · 2016-11-25T21:46:03+01:00

MissPhiladelphia MissPhiladelphia

25-11-2016

When a triangle has three known sides and you want to find one angle, you can use the cosine law. The formula is

c^2 = b^2 + a^2 - 2abcosC
(19)^2 = (16)^2 + (12)^2 -2(12)(16)cosC
2(12)(16)cosC = (16)^2 + (12)^2 - (19)^2
384cosC = 39
cos C = 39/384
cos C = 0.1016
c = arccosine 0.1016
c = 84.17 degrees = 84 degrees

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Triangle ABC has side a = 12, b = 16, and c = 19. Find the measure of angle C to the nearest whole number.

Respuesta :

Otras preguntas

Triangle ABC has side a = 12, b = 16,
and c = 19.
Find the measure of angle C to the nearest whole number.