16
QuizMultiple Choice

Trigonometric Ratios — Quiz

Question 16 • Integrated Math II CR SUSD (EX)

Two students describe the sides of right triangle ABC in relation to angle cap b Tomas Iliana line segment AB is the hypotenuse. line segment AB is the hypotenuse. line segment AC is the opposite side. line segment BC is the opposite side. line segment BC is the adjacent side. line segment AC is the adjacent side. Who is correct? Explain.

Answer
A
Tomas is correct; line segment AC is opposite angle cap b and line segment BC is adjacent to angle cap b .
B
Iliana is correct; line segment BC is opposite angle cap b and line segment AC is adjacent to angle cap b .
C
Neither is correct because neither line segment AC nor line segment BC is opposite angle cap b .
D
Both are correct because both line segment AC and line segment BC are opposite angle cap b .

Explanation

Since AB is the hypotenuse, the right angle is opposite AB, so AC and BC are the legs. Relative to angle B, BC touches the angle and is not the hypotenuse, so it is adjacent; AC is across from angle B, so it is opposite. Therefore, Tomas is correct: AC is opposite angle B and BC is adjacent.

AI-written and checked against the verified answer.

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