Question

given the right triangle below and the angle θ, answer the following questions.

side a is:

• adjacent to θ
• the hypotenuse
• opposite to θ

you did not select an option.

side b is:

• opposite to θ
• the hypotenuse
• adjacent to θ

you did not select an option.

side c is:
options not fully visible
you did not select an option.

Explanation:

Step1: Recall Right Triangle Terms

In a right triangle, for an acute angle \( \theta \):

• Adjacent side: The side that forms \( \theta \) along with the hypotenuse (not the right angle side).
• Opposite side: The side opposite to \( \theta \) (doesn't form \( \theta \)).
• Hypotenuse: The longest side, opposite the right angle.

Step2: Analyze Side \( a \)

Looking at the triangle, angle \( \theta \) is at the top. Side \( a \) is one of the legs, and it forms angle \( \theta \) (along with hypotenuse \( c \)). So, side \( a \) is adjacent to \( \theta \).

Step3: Analyze Side \( b \)

Side \( b \) is the other leg, opposite to angle \( \theta \) (it doesn't form \( \theta \)). So, side \( b \) is opposite to \( \theta \).

Step4: Analyze Side \( c \)

Side \( c \) is opposite the right angle, so it's the hypotenuse.

Answer:

s:

• Side \( a \) is: adjacent to \( \theta \)
• Side \( b \) is: opposite to \( \theta \)
• Side \( c \) is: the hypotenuse