Given an angle (pronounced "th-ay-ta") in a right triangle, the sides of the triangle have some special names: opposite, adjacent and hypotenuse.
Opposite: the side opposite to the angle
Adjacent: the side next to (or touching) the angle
Hypotenuse: the longest side of the triangle, which is always opposite to the right angle.
The opposite and adjacent sides are relative to the angle in question. If is representing the other angle, then the name of these sides change to reflect their position relative to the other angle.
Note that the variable is the most commonly used variable in trigonometry, just like in algebra. However, other variables are often used as well.
Relative to , which sides are the opposite, adjacent, and hypotenuse?
Relative to
the opposite side is
the adjacent side is and
the hypotenuse is
Which of the following statements is true?
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a
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$\overline{XZ}$ is the side opposite to $\angle X$ |
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b
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$\overline{YZ}$ is the side adjacent to $\angle X$ |
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c
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$\overline{YZ}$ is the side opposite to $\angle Y$ |
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d
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$\overline{XZ}$ is the side adjacent to $\angle Y$ |
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e
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$\overline{YZ}$ is the side opposite to $\angle X$ |
Which of the following statements is true?
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a
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$\overline{QR}$ is opposite to $\angle Q$ |
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b
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$\overline{PR}$ is opposite to $\angle P$ |
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c
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$\overline{QR}$ is adjacent to $\angle P$ |
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d
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$\overline{QR}$ is adjacent to $\angle Q$ |
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e
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$\overline{QR}$ is opposite to $\angle R$ |
Relative to what is the length of the adjacent side?
The adjacent side to is and its length is
Relative to $\angle ABC,$ what are the lengths of the opposite, adjacent, and hypotenuse, respectively?
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a
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$8,\, 17,\, 15$ |
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b
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$8,\, 15,\, 17$ |
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c
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$15,\, 8,\, 17$ |
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d
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$17,\, 8,\, 15$ |
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e
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$17,\, 15,\, 8$ |
Relative to $\angle LMK,$ what are the lengths of the opposite, adjacent, and hypotenuse, respectively?
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a
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$13,\, 12,\, 5$ |
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b
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$5,\, 13,\, 12$ |
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c
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$13,\, 5,\, 12$ |
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d
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$12,\, 5,\, 13$ |
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e
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$12,\, 13,\, 5$ |
Relative to the angles and which sides are the opposite sides?
Relative to the angle the opposite side is
Relative to the angle the opposite side is
Which sides are opposite to the angles $\theta$ and $\alpha,$ respectively?
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a
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$\overline{MN}$ and $\overline{RP}$ |
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b
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$\overline{PQ}$ and $\overline{ON}$ |
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c
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$\overline{RQ}$ and $\overline{MN}$ |
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d
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$\overline{RP}$ and $\overline{MO}$ |
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e
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$\overline{MO}$ and $\overline{PQ}$ |
Which sides are adjacent to the angles $\theta$ and $\alpha$, respectively?
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a
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$\overline{LM}$ and $\overline{VW}$ |
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b
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$\overline{NL}$ and $\overline{UV}$ |
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c
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$\overline{MN}$ and $\overline{UV}$ |
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d
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$\overline{MN}$ and $\overline{UW}$ |
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e
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$\overline{NL}$ and $\overline{UW}$ |