8
QuizMultiple Choice

Right Triangle Trigonometry — Test

Question 8 • Geometry: Concepts and Connections

The law of cosines for triangle RST can be set up as 5 squared is equal to 7 squared plus 3 squared minus 2 7 3 cosine cap s What could be true about triangle RST ? Law of cosines: A squared is equal to b squared plus c squared minus 2 b c cosine cap A

Answer
A
s is equal to 7 and t is equal to 5
B
s is equal to 5 and t is equal to 3
C
r is equal to 3 and t is equal to 3
D
r is equal to 5 and t is equal to 7

Explanation

In the law of cosines, the side opposite angle S is s, so the equation shows s = 5. The other two sides are r and t, with lengths 7 and 3, though either side could have either length. Thus, s = 5 and t = 3 could be true; choice B matches.

AI-written and checked against the verified answer.

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