24
QuizMultiple Choice

Right Triangle Relationships and Trigonometry — Test

Question 24 • TPS EdX Geometry

Find the measure of angle cap q , the smallest angle in a triangle whose sides have lengths 4 , 5 , and 6 Round the measure to the nearest whole degree.

Answer
A
51 degrees
B
56 degrees
C
34 degrees
D
41 degrees

Explanation

The smallest angle is opposite the shortest side, which is 4. By the law of cosines, cos(q) = (5² + 6² − 4²) / (2 × 5 × 6) = 45/60 = 0.75. Thus q = arccos(0.75) ≈ 41.4°, which rounds to 41 degrees, choice A.

AI-written and checked against the verified answer.

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