Which set of measurements could be the side lengths of a triangle?
1 answer:
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Answer:
9......
Step-by-step explanation:
A right-angled triangle in the image below will be formed.
Now, we will make use of the trigonometric rule......
But before that, how do know the perfect rule to apply so as to solve the problem?
#. The side facing the angle 65 deg. is called the Opposite side
#. The side facing the angle 90 deg. is called the Hypotenuse
#. While the last side is called the Adjacent
Now, Looking at our question, we were given the Hypotenuse and asked to look for the Opposite side....This is where we apply the trigonometric rule
Sine(θ)=Opposite/Hypotenuse
Therefore,
Sine 64 = Opposite/10
Opposite = 10 x sine64
Opposite = 10 x 0.9
Opposite = 9cm
The graph is shown below. I used GeoGebra to create the graph. The graph is restricted on the domain meaning that everything to the left of x = 0 is not drawn, and the same for everything to the right of x = 2.
A table of values is included as well. Each row in the table represents an ordered pair point (x,y) that is on the blue cosine graph.
