What is the value of y in this triangle?
2 answers:
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Answer:
(–5, 12) is the correct answer.
Step-by-step explanation:
We are given the following values:
Now, we know the following identities:
Now, the values are:
Sine value is positive and cos, tan values are negative.
It can be clearly observed that is in 2nd quadrant.
2nd quadrant means, the value of will be negative and
will be positive.
Let us have a look at the value of :
Please refer to the attached image for clear understanding and detailed explanation.
Hence, the correct answer is coordinate (x,y) is (–5, 12)
The side AB measures option 2. units long.
Step-by-step explanation:
Step 1:
The coordinates of the given triangle ABC are A (4, 5), B (2, 1), and C (4, 1).
The sides of the triangle are AB, BC, and CA. We need to determine the length of AB.
To calculate the distance between two points, we use the formula
where () are the coordinates of the first point and (
) are the coordinates of the second point.
Step 2:
For A (4, 5) and B (2, 1), () = (4, 5) and (
) = (2, 1). Substituting these values in the distance formula, we get
So the side AB measures units long which is the second option.