We have already seen which of the sides in a right-angled triangle is the hypotenuse.
If we have another angle indicated (like $\theta$θ in the diagram below) then we can also label the other two sides with two special names.
Opposite Side - is the name given to the side opposite the angle in question
Adjacent Side - is the name given to the side adjacent (next to) the angle in question.
Have a look at these triangles that I have named below. Note how the sides adjacent, opposite and hypotenuse are also abbreviated to A, O and H.
Let's have a look at these worked examples.
Question 1
Which of the following is the opposite side to angle $\theta$θ?
$AB$AB
A
$BC$BC
B
$AC$AC
C
Question 2
Which of the following is the adjacent side to angle $\theta$θ?
$AB$AB
A
$BC$BC
B
$AC$AC
C
Question 3
A driver glances up at the top of a building.
True or false: According to the angle A, the height of the building is the opposite side.
True
A
False
B
True or false: According to the angle A, the distance from the driver to the building would be the opposite side.
True
A
False
B
Outcomes
10.T.IT.1
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0° and 90°. Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios.