Question

labeling sides of right triangles
complete the table to show the
name of each side of the right
triangle when you consider
angles a and b
opposite side opposite side
adjacent side adjacent side
hypotenuse hypotenuse
(the right triangle has vertices a, b, c with right angle at c. side opposite a is a, side opposite b is b, hypotenuse is c? wait, the triangle is drawn with a at left, c at right (right angle), b at top. so sides: ac is b (horizontal), bc is a (vertical), ab is c (hypotenuse). then the table is:

	a	b	c
∠a
∠b

so need to label each side (a, b, c) as opposite, adjacent, or hypotenuse for ∠a and ∠b.)

Explanation:

Step1: Define hypotenuse

The hypotenuse is always the side opposite the right angle, so side $c$ is the hypotenuse for both $\angle A$ and $\angle B$.

Step2: Label sides for $\angle A$

• Side opposite $\angle A$: side $a$ (facing $\angle A$)
• Side adjacent to $\angle A$: side $b$ (shares vertex with $\angle A$, not hypotenuse)

Step3: Label sides for $\angle B$

• Side opposite $\angle B$: side $b$ (facing $\angle B$)
• Side adjacent to $\angle B$: side $a$ (shares vertex with $\angle B$, not hypotenuse)

Answer:

	$a$	$b$	$c$
$\angle B$	Adjacent Side	Opposite Side	Hypotenuse