Question

complete the table to show the name of each side of the right triangle when you consider angles a and b
opposite side
adjacent side
hypotenuse
opposite side
adjacent side
hypotenuse

Explanation:

Step1: Recall definitions

• Opposite side: The side that does not form the angle.
• Adjacent side: The side that forms the angle (other than the hypotenuse).
• Hypotenuse: The longest side (opposite the right - angle).

Step2: Analyze for \(\angle A\)

• For \(\angle A\):
• Side \(a\) is opposite \(\angle A\) (does not form \(\angle A\)).
• Side \(b\) is adjacent to \(\angle A\) (forms \(\angle A\) along with side \(c\), but \(c\) is hypotenuse).
• Side \(c\) is hypotenuse (longest side, opposite the right - angle).

Step3: Analyze for \(\angle B\)

• For \(\angle B\):
• Side \(b\) is opposite \(\angle B\) (does not form \(\angle B\)).
• Side \(a\) is adjacent to \(\angle B\) (forms \(\angle B\) along with side \(c\), but \(c\) is hypotenuse).
• Side \(c\) is hypotenuse (longest side, opposite the right - angle).

Answer:

	\(a\)	\(b\)	\(c\)
\(\angle B\)	Adjacent side	Opposite side	Hypotenuse