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

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

Do the math. she originally had 50 dollars on her gift card and she had 12 dollars left on her gift card after she finished her shopping spree. if you subtract 50 minus 12 you get thirty eight dollars as your answer. so therefore, ciara spent 38 dollars total o

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