4
QuizMultiple Choice

Law of Sines — Quiz

Question 4 • Precalculus

Which triangle can be solved using the law of sines?

Answer
A
Image with description The angles of a triangle are 60 degrees, 80 degrees and 40 degrees.
B
Image with description Two angles of a triangle are 70 and 30 degrees, and the other side 10 meters.
C
Image with description The side lengths of a triangle are 12 inches, 14 inches, and 16 inches.
D
Image with description Two side lengths of a triangle are 18 and 19 centimeters and the included angle is 40 degrees.

Explanation

Choice C gives two angles, 70° and 30°, and a side of 10 meters. The third angle is 180° − 70° − 30° = 80°, so there is a known angle-side pair and the law of sines can be used to find the remaining sides. Choice A has no side length, so the triangle’s size cannot be determined.

AI-written and checked against the verified answer.

Previous
Next