9
QuizMultiple Choice

Law of Cosines

Question 9 • NC-Math 4 CR

In triangle MNO, MN = 20 units, NO = 15 units, and MO = 18 units. What is the approximate difference between the largest and smallest angle measures?

Answer
A
2°
B
5°
C
14°
D
28°

Explanation

The largest angle is opposite the longest side, 20 units, and the smallest is opposite the shortest side, 15 units. Using the law of cosines, those angles are approximately 74° and 46°, respectively. Their difference is about 28°, so the answer is 28°.

AI-written and checked against the verified answer.

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