A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (–5, 2), (7, 2), and (7, –3).

Mathematics

2 answers:

klemol [59]3 years ago

8 0

You will have to use a ruler for this on the chart

Mars2501 [29]3 years ago

4 0

Draw a coordinate system and put the points into it. This is the easiest way to understand this. You can simply measure two sides of the triangel after this by looking at your drawing, then use the Pythagorean theorem to get the length of the last side.

Another method to get the lentgth of two sides:
By looking at the coordinates you can see that (-5,2) and (7,2) gives one side, which is 12 long (the length from -5 to 7) and (7,2), (7,-3) gives another side, which has a length of 5 (from 2 to -3). Use the Pythagorean theorem to get the last side:
5^2 + 12^2 = x^2
25 + 144 = x^2
169 = x^2
13 = x

You need the perimeter so simply add all the sides together: 12+5+13= 30

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Step-by-step explanation:

On a cartesian plane, a unit circle is

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The circle crosses the x- and y-axis at four points:

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$(0, \, 1)$ ,
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Join a point on the circle with the origin using a segment. The "angle" here likely refers to the counter-clockwise angle between the positive x-axis and that segment.

When the angle is equal to $0^\circ$ , the segment overlaps with the positive x-axis. The point is on both the circle and the positive x-axis. Its coordinates would be $(1, \, 0)$ .

To locate the point with a $90^{\circ}$ angle, rotate the $0^\circ$ segment counter-clockwise by $90^{\circ}$ . The segment would land on the positive y-axis. In other words, the $90^{\circ}$ -point would be at the intersection of the positive y-axis and the circle. Its coordinates would be $(0, \, 1)$ .