The problem asks to identify the hypotenuse, the opposite side, and the adjacent side to the angle $\theta$ in each of the given right triangles.

GeometryTrigonometryRight TrianglesHypotenuseOpposite SideAdjacent SideAngle
2025/7/21

1. Problem Description

The problem asks to identify the hypotenuse, the opposite side, and the adjacent side to the angle θ\theta in each of the given right triangles.

2. Solution Steps

Recall the definitions:
- Hypotenuse: The side opposite the right angle in a right triangle. It is always the longest side.
- Opposite side: The side opposite to the angle θ\theta.
- Adjacent side: The side adjacent to the angle θ\theta that is not the hypotenuse.
(a)
- Hypotenuse: cc
- Opposite: bb
- Adjacent: aa
(b)
- Hypotenuse: cc
- Opposite: aa
- Adjacent: bb
(c)
- Hypotenuse: cc
- Opposite: aa
- Adjacent: bb
(d)
- Hypotenuse: cc
- Opposite: aa
- Adjacent: bb
(e)
- Hypotenuse: xx
- Opposite: yy
- Adjacent: zz
(f)
- Hypotenuse: xx
- Opposite: yy
- Adjacent: zz
(g)
- Hypotenuse: uu
- Opposite: ss
- Adjacent: tt
(h)
- Hypotenuse: uu
- Opposite: tt
- Adjacent: ss
(i)
- Hypotenuse: bb
- Opposite: cc
- Adjacent: aa
(j)
- Hypotenuse: bb
- Opposite: cc
- Adjacent: aa

3. Final Answer

(a) Hypotenuse: cc, Opposite: bb, Adjacent: aa
(b) Hypotenuse: cc, Opposite: aa, Adjacent: bb
(c) Hypotenuse: cc, Opposite: aa, Adjacent: bb
(d) Hypotenuse: cc, Opposite: aa, Adjacent: bb
(e) Hypotenuse: xx, Opposite: yy, Adjacent: zz
(f) Hypotenuse: xx, Opposite: yy, Adjacent: zz
(g) Hypotenuse: uu, Opposite: ss, Adjacent: tt
(h) Hypotenuse: uu, Opposite: tt, Adjacent: ss
(i) Hypotenuse: bb, Opposite: cc, Adjacent: aa
(j) Hypotenuse: bb, Opposite: cc, Adjacent: aa

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