Why can't the Law of Sines be used directly in this problem?
Learn how to solve using the law of cosines

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Mathematics
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9th - 10th Grade
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Because the side lengths are not proportional.
Because we do not have any angle measures.
Because the triangle is not isosceles.
Because the triangle is not a right triangle.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the cosine of angle C using the Law of Cosines?
cos(C) = (a^2 + b^2 + c^2) / (2ab)
cos(C) = (a^2 - b^2 + c^2) / (2bc)
cos(C) = (a^2 + b^2 - c^2) / (2ab)
cos(C) = (b^2 + c^2 - a^2) / (2ac)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the calculated value of angle C using the Law of Cosines?
120 degrees
105.63 degrees
60 degrees
90 degrees
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What issue might arise when calculating the inverse cosine of a negative number?
The result will be a positive number.
The calculator might display an error.
The result will always be zero.
The result will be a complex number.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the Law of Sines used to find angle A?
By using the ratio of side A to the cosine of angle A.
By using the ratio of side C to the sine of angle C.
By using the ratio of side A to the sine of angle A.
By using the ratio of side B to the sine of angle B.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sum of all angles in a triangle?
270 degrees
90 degrees
360 degrees
180 degrees
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final step to find the missing angle B?
Subtract the sum of angles A and C from 180 degrees.
Add angles A and C.
Multiply angles A and C.
Divide the sum of angles A and C by 2.
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